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Finding the Third Proportional to 207,327 and 453,609

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Solution

The third proportional to 207,327 and 453,609 is: 992,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,327 : 453,609 = 453,609 : x
  2. Step 2: Convert to fraction form
    207,327/453,609 = 453,609/x
  3. Step 3: Cross multiply
    207,327x = 453,609 × 453,609
  4. Step 4: Simplify right side
    207,327x = 205,761,124,881
  5. Step 5: Solve for x
    x = 205,761,124,881/207,327
  6. Step 6: Final answer
    x = 992,447.32

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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.