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Finding the Third Proportional to 415,574 and 632,109

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Solution

The third proportional to 415,574 and 632,109 is: 961,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,574 : 632,109 = 632,109 : x
  2. Step 2: Convert to fraction form
    415,574/632,109 = 632,109/x
  3. Step 3: Cross multiply
    415,574x = 632,109 × 632,109
  4. Step 4: Simplify right side
    415,574x = 399,561,787,881
  5. Step 5: Solve for x
    x = 399,561,787,881/415,574
  6. Step 6: Final answer
    x = 961,469.65

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