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Finding the Third Proportional to 386,793.56 and 591,310.13

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Solution

The third proportional to 386,793.56 and 591,310.13 is: 903,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,793.56 : 591,310.13 = 591,310.13 : x
  2. Step 2: Convert to fraction form
    386,793.56/591,310.13 = 591,310.13/x
  3. Step 3: Cross multiply
    386,793.56x = 591,310.13 × 591,310.13
  4. Step 4: Simplify right side
    386,793.56x = 349,647,663,927.52
  5. Step 5: Solve for x
    x = 349,647,663,927.52/386,793.56
  6. Step 6: Final answer
    x = 903,964.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.