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Finding the Third Proportional to 207,688.50 and 453,817.13

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Solution

The third proportional to 207,688.50 and 453,817.13 is: 991,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,688.50 : 453,817.13 = 453,817.13 : x
  2. Step 2: Convert to fraction form
    207,688.50/453,817.13 = 453,817.13/x
  3. Step 3: Cross multiply
    207,688.50x = 453,817.13 × 453,817.13
  4. Step 4: Simplify right side
    207,688.50x = 205,949,982,943.27
  5. Step 5: Solve for x
    x = 205,949,982,943.27/207,688.50
  6. Step 6: Final answer
    x = 991,629.21

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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.