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Finding the Third Proportional to 231,952 and 502,280

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Solution

The third proportional to 231,952 and 502,280 is: 1,087,661.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,952 : 502,280 = 502,280 : x
  2. Step 2: Convert to fraction form
    231,952/502,280 = 502,280/x
  3. Step 3: Cross multiply
    231,952x = 502,280 × 502,280
  4. Step 4: Simplify right side
    231,952x = 252,285,198,400
  5. Step 5: Solve for x
    x = 252,285,198,400/231,952
  6. Step 6: Final answer
    x = 1,087,661.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.