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Finding the Third Proportional to 413,329.50 and 626,221.13

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Solution

The third proportional to 413,329.50 and 626,221.13 is: 948,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,329.50 : 626,221.13 = 626,221.13 : x
  2. Step 2: Convert to fraction form
    413,329.50/626,221.13 = 626,221.13/x
  3. Step 3: Cross multiply
    413,329.50x = 626,221.13 × 626,221.13
  4. Step 4: Simplify right side
    413,329.50x = 392,152,897,396.27
  5. Step 5: Solve for x
    x = 392,152,897,396.27/413,329.50
  6. Step 6: Final answer
    x = 948,765.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.