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Finding the Third Proportional to 518,448 and 741,384

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Solution

The third proportional to 518,448 and 741,384 is: 1,060,183.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,448 : 741,384 = 741,384 : x
  2. Step 2: Convert to fraction form
    518,448/741,384 = 741,384/x
  3. Step 3: Cross multiply
    518,448x = 741,384 × 741,384
  4. Step 4: Simplify right side
    518,448x = 549,650,235,456
  5. Step 5: Solve for x
    x = 549,650,235,456/518,448
  6. Step 6: Final answer
    x = 1,060,183.92

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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.