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Finding the Third Proportional to 232,553 and 502,285

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Solution

The third proportional to 232,553 and 502,285 is: 1,084,871.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,553 : 502,285 = 502,285 : x
  2. Step 2: Convert to fraction form
    232,553/502,285 = 502,285/x
  3. Step 3: Cross multiply
    232,553x = 502,285 × 502,285
  4. Step 4: Simplify right side
    232,553x = 252,290,221,225
  5. Step 5: Solve for x
    x = 252,290,221,225/232,553
  6. Step 6: Final answer
    x = 1,084,871.93

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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.