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Finding the Third Proportional to 391,276.50 and 524,099.25

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Solution

The third proportional to 391,276.50 and 524,099.25 is: 702,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,276.50 : 524,099.25 = 524,099.25 : x
  2. Step 2: Convert to fraction form
    391,276.50/524,099.25 = 524,099.25/x
  3. Step 3: Cross multiply
    391,276.50x = 524,099.25 × 524,099.25
  4. Step 4: Simplify right side
    391,276.50x = 274,680,023,850.56
  5. Step 5: Solve for x
    x = 274,680,023,850.56/391,276.50
  6. Step 6: Final answer
    x = 702,010.02

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.