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Finding the Third Proportional to 215,920 and 474,352

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Solution

The third proportional to 215,920 and 474,352 is: 1,042,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,920 : 474,352 = 474,352 : x
  2. Step 2: Convert to fraction form
    215,920/474,352 = 474,352/x
  3. Step 3: Cross multiply
    215,920x = 474,352 × 474,352
  4. Step 4: Simplify right side
    215,920x = 225,009,819,904
  5. Step 5: Solve for x
    x = 225,009,819,904/215,920
  6. Step 6: Final answer
    x = 1,042,098.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.