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Finding the Third Proportional to 207,592 and 453,959

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Solution

The third proportional to 207,592 and 453,959 is: 992,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,592 : 453,959 = 453,959 : x
  2. Step 2: Convert to fraction form
    207,592/453,959 = 453,959/x
  3. Step 3: Cross multiply
    207,592x = 453,959 × 453,959
  4. Step 4: Simplify right side
    207,592x = 206,078,773,681
  5. Step 5: Solve for x
    x = 206,078,773,681/207,592
  6. Step 6: Final answer
    x = 992,710.57

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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.