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Finding the Third Proportional to 518,412.75 and 741,331.13

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Solution

The third proportional to 518,412.75 and 741,331.13 is: 1,060,104.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,412.75 : 741,331.13 = 741,331.13 : x
  2. Step 2: Convert to fraction form
    518,412.75/741,331.13 = 741,331.13/x
  3. Step 3: Cross multiply
    518,412.75x = 741,331.13 × 741,331.13
  4. Step 4: Simplify right side
    518,412.75x = 549,571,836,893.77
  5. Step 5: Solve for x
    x = 549,571,836,893.77/518,412.75
  6. Step 6: Final answer
    x = 1,060,104.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.