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Finding the Third Proportional to 337,106.25 and 724,240.13

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Solution

The third proportional to 337,106.25 and 724,240.13 is: 1,555,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,106.25 : 724,240.13 = 724,240.13 : x
  2. Step 2: Convert to fraction form
    337,106.25/724,240.13 = 724,240.13/x
  3. Step 3: Cross multiply
    337,106.25x = 724,240.13 × 724,240.13
  4. Step 4: Simplify right side
    337,106.25x = 524,523,758,660.02
  5. Step 5: Solve for x
    x = 524,523,758,660.02/337,106.25
  6. Step 6: Final answer
    x = 1,555,959.76

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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.