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Finding the Third Proportional to 426,932 and 669,698

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Solution

The third proportional to 426,932 and 669,698 is: 1,050,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,932 : 669,698 = 669,698 : x
  2. Step 2: Convert to fraction form
    426,932/669,698 = 669,698/x
  3. Step 3: Cross multiply
    426,932x = 669,698 × 669,698
  4. Step 4: Simplify right side
    426,932x = 448,495,411,204
  5. Step 5: Solve for x
    x = 448,495,411,204/426,932
  6. Step 6: Final answer
    x = 1,050,507.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.