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Finding the Third Proportional to 337,099.50 and 724,225

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Solution

The third proportional to 337,099.50 and 724,225 is: 1,555,925.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,099.50 : 724,225 = 724,225 : x
  2. Step 2: Convert to fraction form
    337,099.50/724,225 = 724,225/x
  3. Step 3: Cross multiply
    337,099.50x = 724,225 × 724,225
  4. Step 4: Simplify right side
    337,099.50x = 524,501,850,625
  5. Step 5: Solve for x
    x = 524,501,850,625/337,099.50
  6. Step 6: Final answer
    x = 1,555,925.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.