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Finding the Third Proportional to 392,947.03 and 591,366.66

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Solution

The third proportional to 392,947.03 and 591,366.66 is: 889,978.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,947.03 : 591,366.66 = 591,366.66 : x
  2. Step 2: Convert to fraction form
    392,947.03/591,366.66 = 591,366.66/x
  3. Step 3: Cross multiply
    392,947.03x = 591,366.66 × 591,366.66
  4. Step 4: Simplify right side
    392,947.03x = 349,714,522,124.31
  5. Step 5: Solve for x
    x = 349,714,522,124.31/392,947.03
  6. Step 6: Final answer
    x = 889,978.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.