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Finding the Third Proportional to 225,344 and 487,872

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Solution

The third proportional to 225,344 and 487,872 is: 1,056,247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,344 : 487,872 = 487,872 : x
  2. Step 2: Convert to fraction form
    225,344/487,872 = 487,872/x
  3. Step 3: Cross multiply
    225,344x = 487,872 × 487,872
  4. Step 4: Simplify right side
    225,344x = 238,019,088,384
  5. Step 5: Solve for x
    x = 238,019,088,384/225,344
  6. Step 6: Final answer
    x = 1,056,247.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.