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Finding the Third Proportional to 381,447.75 and 560,494.13

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Solution

The third proportional to 381,447.75 and 560,494.13 is: 823,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,447.75 : 560,494.13 = 560,494.13 : x
  2. Step 2: Convert to fraction form
    381,447.75/560,494.13 = 560,494.13/x
  3. Step 3: Cross multiply
    381,447.75x = 560,494.13 × 560,494.13
  4. Step 4: Simplify right side
    381,447.75x = 314,153,664,159.52
  5. Step 5: Solve for x
    x = 314,153,664,159.52/381,447.75
  6. Step 6: Final answer
    x = 823,582.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.