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Finding the Third Proportional to 215,564 and 468,436

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Solution

The third proportional to 215,564 and 468,436 is: 1,017,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,564 : 468,436 = 468,436 : x
  2. Step 2: Convert to fraction form
    215,564/468,436 = 468,436/x
  3. Step 3: Cross multiply
    215,564x = 468,436 × 468,436
  4. Step 4: Simplify right side
    215,564x = 219,432,286,096
  5. Step 5: Solve for x
    x = 219,432,286,096/215,564
  6. Step 6: Final answer
    x = 1,017,944.95

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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.