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Finding the Third Proportional to 323,760.38 and 506,773.13

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Solution

The third proportional to 323,760.38 and 506,773.13 is: 793,237.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,760.38 : 506,773.13 = 506,773.13 : x
  2. Step 2: Convert to fraction form
    323,760.38/506,773.13 = 506,773.13/x
  3. Step 3: Cross multiply
    323,760.38x = 506,773.13 × 506,773.13
  4. Step 4: Simplify right side
    323,760.38x = 256,819,000,222.27
  5. Step 5: Solve for x
    x = 256,819,000,222.27/323,760.38
  6. Step 6: Final answer
    x = 793,237.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.