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Finding the Third Proportional to 214,979 and 466,771

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Solution

The third proportional to 214,979 and 466,771 is: 1,013,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,979 : 466,771 = 466,771 : x
  2. Step 2: Convert to fraction form
    214,979/466,771 = 466,771/x
  3. Step 3: Cross multiply
    214,979x = 466,771 × 466,771
  4. Step 4: Simplify right side
    214,979x = 217,875,166,441
  5. Step 5: Solve for x
    x = 217,875,166,441/214,979
  6. Step 6: Final answer
    x = 1,013,471.86

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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.