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Finding the Third Proportional to 349,957.13 and 755,736.75

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Solution

The third proportional to 349,957.13 and 755,736.75 is: 1,632,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,957.13 : 755,736.75 = 755,736.75 : x
  2. Step 2: Convert to fraction form
    349,957.13/755,736.75 = 755,736.75/x
  3. Step 3: Cross multiply
    349,957.13x = 755,736.75 × 755,736.75
  4. Step 4: Simplify right side
    349,957.13x = 571,138,035,300.56
  5. Step 5: Solve for x
    x = 571,138,035,300.56/349,957.13
  6. Step 6: Final answer
    x = 1,632,022.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.