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Finding the Third Proportional to 274,114.13 and 411,171.19

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Solution

The third proportional to 274,114.13 and 411,171.19 is: 616,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,114.13 : 411,171.19 = 411,171.19 : x
  2. Step 2: Convert to fraction form
    274,114.13/411,171.19 = 411,171.19/x
  3. Step 3: Cross multiply
    274,114.13x = 411,171.19 × 411,171.19
  4. Step 4: Simplify right side
    274,114.13x = 169,061,745,430.16
  5. Step 5: Solve for x
    x = 169,061,745,430.16/274,114.13
  6. Step 6: Final answer
    x = 616,756.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.