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Finding the Third Proportional to 327,024.84 and 701,332.17

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Solution

The third proportional to 327,024.84 and 701,332.17 is: 1,504,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,024.84 : 701,332.17 = 701,332.17 : x
  2. Step 2: Convert to fraction form
    327,024.84/701,332.17 = 701,332.17/x
  3. Step 3: Cross multiply
    327,024.84x = 701,332.17 × 701,332.17
  4. Step 4: Simplify right side
    327,024.84x = 491,866,815,306.91
  5. Step 5: Solve for x
    x = 491,866,815,306.91/327,024.84
  6. Step 6: Final answer
    x = 1,504,065.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.