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Finding the Third Proportional to 214,978 and 455,566

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Solution

The third proportional to 214,978 and 455,566 is: 965,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,978 : 455,566 = 455,566 : x
  2. Step 2: Convert to fraction form
    214,978/455,566 = 455,566/x
  3. Step 3: Cross multiply
    214,978x = 455,566 × 455,566
  4. Step 4: Simplify right side
    214,978x = 207,540,380,356
  5. Step 5: Solve for x
    x = 207,540,380,356/214,978
  6. Step 6: Final answer
    x = 965,402.88

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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.