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Finding the Third Proportional to 317,712.38 and 495,325.13

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Solution

The third proportional to 317,712.38 and 495,325.13 is: 772,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,712.38 : 495,325.13 = 495,325.13 : x
  2. Step 2: Convert to fraction form
    317,712.38/495,325.13 = 495,325.13/x
  3. Step 3: Cross multiply
    317,712.38x = 495,325.13 × 495,325.13
  4. Step 4: Simplify right side
    317,712.38x = 245,346,979,456.27
  5. Step 5: Solve for x
    x = 245,346,979,456.27/317,712.38
  6. Step 6: Final answer
    x = 772,229.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.