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Finding the Third Proportional to 392,989.50 and 588,876.75

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Solution

The third proportional to 392,989.50 and 588,876.75 is: 882,404.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,989.50 : 588,876.75 = 588,876.75 : x
  2. Step 2: Convert to fraction form
    392,989.50/588,876.75 = 588,876.75/x
  3. Step 3: Cross multiply
    392,989.50x = 588,876.75 × 588,876.75
  4. Step 4: Simplify right side
    392,989.50x = 346,775,826,690.56
  5. Step 5: Solve for x
    x = 346,775,826,690.56/392,989.50
  6. Step 6: Final answer
    x = 882,404.81

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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.