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Finding the Third Proportional to 225,924 and 482,872

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Solution

The third proportional to 225,924 and 482,872 is: 1,032,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,924 : 482,872 = 482,872 : x
  2. Step 2: Convert to fraction form
    225,924/482,872 = 482,872/x
  3. Step 3: Cross multiply
    225,924x = 482,872 × 482,872
  4. Step 4: Simplify right side
    225,924x = 233,165,368,384
  5. Step 5: Solve for x
    x = 233,165,368,384/225,924
  6. Step 6: Final answer
    x = 1,032,052.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.