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Finding the Third Proportional to 217,755 and 468,882

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Solution

The third proportional to 217,755 and 468,882 is: 1,009,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,755 : 468,882 = 468,882 : x
  2. Step 2: Convert to fraction form
    217,755/468,882 = 468,882/x
  3. Step 3: Cross multiply
    217,755x = 468,882 × 468,882
  4. Step 4: Simplify right side
    217,755x = 219,850,329,924
  5. Step 5: Solve for x
    x = 219,850,329,924/217,755
  6. Step 6: Final answer
    x = 1,009,622.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.