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Finding the Third Proportional to 217,872 and 466,848

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Solution

The third proportional to 217,872 and 466,848 is: 1,000,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,872 : 466,848 = 466,848 : x
  2. Step 2: Convert to fraction form
    217,872/466,848 = 466,848/x
  3. Step 3: Cross multiply
    217,872x = 466,848 × 466,848
  4. Step 4: Simplify right side
    217,872x = 217,947,055,104
  5. Step 5: Solve for x
    x = 217,947,055,104/217,872
  6. Step 6: Final answer
    x = 1,000,344.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.