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Finding the Third Proportional to 217,226 and 460,672

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Solution

The third proportional to 217,226 and 460,672 is: 976,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,226 : 460,672 = 460,672 : x
  2. Step 2: Convert to fraction form
    217,226/460,672 = 460,672/x
  3. Step 3: Cross multiply
    217,226x = 460,672 × 460,672
  4. Step 4: Simplify right side
    217,226x = 212,218,691,584
  5. Step 5: Solve for x
    x = 212,218,691,584/217,226
  6. Step 6: Final answer
    x = 976,948.85

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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.