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Finding the Third Proportional to 232,859 and 561,644

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Solution

The third proportional to 232,859 and 561,644 is: 1,354,656.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,859 : 561,644 = 561,644 : x
  2. Step 2: Convert to fraction form
    232,859/561,644 = 561,644/x
  3. Step 3: Cross multiply
    232,859x = 561,644 × 561,644
  4. Step 4: Simplify right side
    232,859x = 315,443,982,736
  5. Step 5: Solve for x
    x = 315,443,982,736/232,859
  6. Step 6: Final answer
    x = 1,354,656.61

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.