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Finding the Third Proportional to 214,300 and 466,698

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Solution

The third proportional to 214,300 and 466,698 is: 1,016,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,300 : 466,698 = 466,698 : x
  2. Step 2: Convert to fraction form
    214,300/466,698 = 466,698/x
  3. Step 3: Cross multiply
    214,300x = 466,698 × 466,698
  4. Step 4: Simplify right side
    214,300x = 217,807,023,204
  5. Step 5: Solve for x
    x = 217,807,023,204/214,300
  6. Step 6: Final answer
    x = 1,016,365.02

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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.