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Finding the Third Proportional to 232,872 and 480,609

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Solution

The third proportional to 232,872 and 480,609 is: 991,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,872 : 480,609 = 480,609 : x
  2. Step 2: Convert to fraction form
    232,872/480,609 = 480,609/x
  3. Step 3: Cross multiply
    232,872x = 480,609 × 480,609
  4. Step 4: Simplify right side
    232,872x = 230,985,010,881
  5. Step 5: Solve for x
    x = 230,985,010,881/232,872
  6. Step 6: Final answer
    x = 991,896.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.