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Finding the Third Proportional to 217,910 and 474,419

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Solution

The third proportional to 217,910 and 474,419 is: 1,032,873.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,910 : 474,419 = 474,419 : x
  2. Step 2: Convert to fraction form
    217,910/474,419 = 474,419/x
  3. Step 3: Cross multiply
    217,910x = 474,419 × 474,419
  4. Step 4: Simplify right side
    217,910x = 225,073,387,561
  5. Step 5: Solve for x
    x = 225,073,387,561/217,910
  6. Step 6: Final answer
    x = 1,032,873.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.