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Finding the Third Proportional to 360,069 and 775,542

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Solution

The third proportional to 360,069 and 775,542 is: 1,670,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,069 : 775,542 = 775,542 : x
  2. Step 2: Convert to fraction form
    360,069/775,542 = 775,542/x
  3. Step 3: Cross multiply
    360,069x = 775,542 × 775,542
  4. Step 4: Simplify right side
    360,069x = 601,465,393,764
  5. Step 5: Solve for x
    x = 601,465,393,764/360,069
  6. Step 6: Final answer
    x = 1,670,417.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.