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Finding the Third Proportional to 500,830,797.38 and 667,698,595.88

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Solution

The third proportional to 500,830,797.38 and 667,698,595.88 is: 890,163,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,830,797.38 : 667,698,595.88 = 667,698,595.88 : x
  2. Step 2: Convert to fraction form
    500,830,797.38/667,698,595.88 = 667,698,595.88/x
  3. Step 3: Cross multiply
    500,830,797.38x = 667,698,595.88 × 667,698,595.88
  4. Step 4: Simplify right side
    500,830,797.38x = 445,821,414,933,446,592
  5. Step 5: Solve for x
    x = 445,821,414,933,446,592/500,830,797.38
  6. Step 6: Final answer
    x = 890,163,738.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.