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Finding the Third Proportional to 392,974.50 and 591,750

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Solution

The third proportional to 392,974.50 and 591,750 is: 891,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,974.50 : 591,750 = 591,750 : x
  2. Step 2: Convert to fraction form
    392,974.50/591,750 = 591,750/x
  3. Step 3: Cross multiply
    392,974.50x = 591,750 × 591,750
  4. Step 4: Simplify right side
    392,974.50x = 350,168,062,500
  5. Step 5: Solve for x
    x = 350,168,062,500/392,974.50
  6. Step 6: Final answer
    x = 891,070.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.