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Finding the Third Proportional to 436,701.38 and 724,717.13

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Solution

The third proportional to 436,701.38 and 724,717.13 is: 1,202,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,701.38 : 724,717.13 = 724,717.13 : x
  2. Step 2: Convert to fraction form
    436,701.38/724,717.13 = 724,717.13/x
  3. Step 3: Cross multiply
    436,701.38x = 724,717.13 × 724,717.13
  4. Step 4: Simplify right side
    436,701.38x = 525,214,911,268.27
  5. Step 5: Solve for x
    x = 525,214,911,268.27/436,701.38
  6. Step 6: Final answer
    x = 1,202,686.64

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.