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Finding the Third Proportional to 215,424 and 457,092

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Solution

The third proportional to 215,424 and 457,092 is: 969,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,424 : 457,092 = 457,092 : x
  2. Step 2: Convert to fraction form
    215,424/457,092 = 457,092/x
  3. Step 3: Cross multiply
    215,424x = 457,092 × 457,092
  4. Step 4: Simplify right side
    215,424x = 208,933,096,464
  5. Step 5: Solve for x
    x = 208,933,096,464/215,424
  6. Step 6: Final answer
    x = 969,869.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.