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Finding the Third Proportional to 325,747.13 and 495,262.13

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Solution

The third proportional to 325,747.13 and 495,262.13 is: 752,990.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,747.13 : 495,262.13 = 495,262.13 : x
  2. Step 2: Convert to fraction form
    325,747.13/495,262.13 = 495,262.13/x
  3. Step 3: Cross multiply
    325,747.13x = 495,262.13 × 495,262.13
  4. Step 4: Simplify right side
    325,747.13x = 245,284,572,459.52
  5. Step 5: Solve for x
    x = 245,284,572,459.52/325,747.13
  6. Step 6: Final answer
    x = 752,990.75

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Why These Related Problems?

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