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Finding the Third Proportional to 730,351.69 and 1,598,074.31

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Solution

The third proportional to 730,351.69 and 1,598,074.31 is: 3,496,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,351.69 : 1,598,074.31 = 1,598,074.31 : x
  2. Step 2: Convert to fraction form
    730,351.69/1,598,074.31 = 1,598,074.31/x
  3. Step 3: Cross multiply
    730,351.69x = 1,598,074.31 × 1,598,074.31
  4. Step 4: Simplify right side
    730,351.69x = 2,553,841,508,272.35
  5. Step 5: Solve for x
    x = 2,553,841,508,272.35/730,351.69
  6. Step 6: Final answer
    x = 3,496,728.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.