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Finding the Third Proportional to 207,658.69 and 453,753.14

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Solution

The third proportional to 207,658.69 and 453,753.14 is: 991,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,658.69 : 453,753.14 = 453,753.14 : x
  2. Step 2: Convert to fraction form
    207,658.69/453,753.14 = 453,753.14/x
  3. Step 3: Cross multiply
    207,658.69x = 453,753.14 × 453,753.14
  4. Step 4: Simplify right side
    207,658.69x = 205,891,912,627.05
  5. Step 5: Solve for x
    x = 205,891,912,627.05/207,658.69
  6. Step 6: Final answer
    x = 991,491.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.