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Finding the Third Proportional to 337,150.69 and 717,209.44

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Solution

The third proportional to 337,150.69 and 717,209.44 is: 1,525,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,150.69 : 717,209.44 = 717,209.44 : x
  2. Step 2: Convert to fraction form
    337,150.69/717,209.44 = 717,209.44/x
  3. Step 3: Cross multiply
    337,150.69x = 717,209.44 × 717,209.44
  4. Step 4: Simplify right side
    337,150.69x = 514,389,377,239.07
  5. Step 5: Solve for x
    x = 514,389,377,239.07/337,150.69
  6. Step 6: Final answer
    x = 1,525,695.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.