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Finding the Third Proportional to 214,293 and 466,683

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Solution

The third proportional to 214,293 and 466,683 is: 1,016,332.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,293 : 466,683 = 466,683 : x
  2. Step 2: Convert to fraction form
    214,293/466,683 = 466,683/x
  3. Step 3: Cross multiply
    214,293x = 466,683 × 466,683
  4. Step 4: Simplify right side
    214,293x = 217,793,022,489
  5. Step 5: Solve for x
    x = 217,793,022,489/214,293
  6. Step 6: Final answer
    x = 1,016,332.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.