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Finding the Third Proportional to 232,538 and 502,244

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Solution

The third proportional to 232,538 and 502,244 is: 1,084,764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,538 : 502,244 = 502,244 : x
  2. Step 2: Convert to fraction form
    232,538/502,244 = 502,244/x
  3. Step 3: Cross multiply
    232,538x = 502,244 × 502,244
  4. Step 4: Simplify right side
    232,538x = 252,249,035,536
  5. Step 5: Solve for x
    x = 252,249,035,536/232,538
  6. Step 6: Final answer
    x = 1,084,764.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.