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Finding the Third Proportional to 207,724 and 325,439

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Solution

The third proportional to 207,724 and 325,439 is: 509,861.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,724 : 325,439 = 325,439 : x
  2. Step 2: Convert to fraction form
    207,724/325,439 = 325,439/x
  3. Step 3: Cross multiply
    207,724x = 325,439 × 325,439
  4. Step 4: Simplify right side
    207,724x = 105,910,542,721
  5. Step 5: Solve for x
    x = 105,910,542,721/207,724
  6. Step 6: Final answer
    x = 509,861.85

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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.