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Finding the Third Proportional to 270,600.75 and 587,314.13

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Solution

The third proportional to 270,600.75 and 587,314.13 is: 1,274,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,600.75 : 587,314.13 = 587,314.13 : x
  2. Step 2: Convert to fraction form
    270,600.75/587,314.13 = 587,314.13/x
  3. Step 3: Cross multiply
    270,600.75x = 587,314.13 × 587,314.13
  4. Step 4: Simplify right side
    270,600.75x = 344,937,881,424.52
  5. Step 5: Solve for x
    x = 344,937,881,424.52/270,600.75
  6. Step 6: Final answer
    x = 1,274,711.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.