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Finding the Third Proportional to 247,789.13 and 357,736.50

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Solution

The third proportional to 247,789.13 and 357,736.50 is: 516,469.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,789.13 : 357,736.50 = 357,736.50 : x
  2. Step 2: Convert to fraction form
    247,789.13/357,736.50 = 357,736.50/x
  3. Step 3: Cross multiply
    247,789.13x = 357,736.50 × 357,736.50
  4. Step 4: Simplify right side
    247,789.13x = 127,975,403,432.25
  5. Step 5: Solve for x
    x = 127,975,403,432.25/247,789.13
  6. Step 6: Final answer
    x = 516,469.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.