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Finding the Third Proportional to 338,937.75 and 730,356.75

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Solution

The third proportional to 338,937.75 and 730,356.75 is: 1,573,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,937.75 : 730,356.75 = 730,356.75 : x
  2. Step 2: Convert to fraction form
    338,937.75/730,356.75 = 730,356.75/x
  3. Step 3: Cross multiply
    338,937.75x = 730,356.75 × 730,356.75
  4. Step 4: Simplify right side
    338,937.75x = 533,420,982,270.56
  5. Step 5: Solve for x
    x = 533,420,982,270.56/338,937.75
  6. Step 6: Final answer
    x = 1,573,802.22

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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.