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Finding the Third Proportional to 206,439.47 and 453,475.13

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Solution

The third proportional to 206,439.47 and 453,475.13 is: 996,125.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,439.47 : 453,475.13 = 453,475.13 : x
  2. Step 2: Convert to fraction form
    206,439.47/453,475.13 = 453,475.13/x
  3. Step 3: Cross multiply
    206,439.47x = 453,475.13 × 453,475.13
  4. Step 4: Simplify right side
    206,439.47x = 205,639,688,993.77
  5. Step 5: Solve for x
    x = 205,639,688,993.77/206,439.47
  6. Step 6: Final answer
    x = 996,125.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.