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Finding the Third Proportional to 232,569 and 502,314

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Solution

The third proportional to 232,569 and 502,314 is: 1,084,922.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,569 : 502,314 = 502,314 : x
  2. Step 2: Convert to fraction form
    232,569/502,314 = 502,314/x
  3. Step 3: Cross multiply
    232,569x = 502,314 × 502,314
  4. Step 4: Simplify right side
    232,569x = 252,319,354,596
  5. Step 5: Solve for x
    x = 252,319,354,596/232,569
  6. Step 6: Final answer
    x = 1,084,922.56

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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.