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Finding the Third Proportional to 206,714 and 455,332

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Solution

The third proportional to 206,714 and 455,332 is: 1,002,966.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,714 : 455,332 = 455,332 : x
  2. Step 2: Convert to fraction form
    206,714/455,332 = 455,332/x
  3. Step 3: Cross multiply
    206,714x = 455,332 × 455,332
  4. Step 4: Simplify right side
    206,714x = 207,327,230,224
  5. Step 5: Solve for x
    x = 207,327,230,224/206,714
  6. Step 6: Final answer
    x = 1,002,966.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.