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Finding the Third Proportional to 214,760 and 464,917

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Solution

The third proportional to 214,760 and 464,917 is: 1,006,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,760 : 464,917 = 464,917 : x
  2. Step 2: Convert to fraction form
    214,760/464,917 = 464,917/x
  3. Step 3: Cross multiply
    214,760x = 464,917 × 464,917
  4. Step 4: Simplify right side
    214,760x = 216,147,816,889
  5. Step 5: Solve for x
    x = 216,147,816,889/214,760
  6. Step 6: Final answer
    x = 1,006,462.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.