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Finding the Third Proportional to 337,538.25 and 720,272.25

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Solution

The third proportional to 337,538.25 and 720,272.25 is: 1,536,987.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,538.25 : 720,272.25 = 720,272.25 : x
  2. Step 2: Convert to fraction form
    337,538.25/720,272.25 = 720,272.25/x
  3. Step 3: Cross multiply
    337,538.25x = 720,272.25 × 720,272.25
  4. Step 4: Simplify right side
    337,538.25x = 518,792,114,120.06
  5. Step 5: Solve for x
    x = 518,792,114,120.06/337,538.25
  6. Step 6: Final answer
    x = 1,536,987.63

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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.