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Finding the Third Proportional to 337,254.50 and 518,391.50

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Solution

The third proportional to 337,254.50 and 518,391.50 is: 796,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,254.50 : 518,391.50 = 518,391.50 : x
  2. Step 2: Convert to fraction form
    337,254.50/518,391.50 = 518,391.50/x
  3. Step 3: Cross multiply
    337,254.50x = 518,391.50 × 518,391.50
  4. Step 4: Simplify right side
    337,254.50x = 268,729,747,272.25
  5. Step 5: Solve for x
    x = 268,729,747,272.25/337,254.50
  6. Step 6: Final answer
    x = 796,815.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.