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Finding the Third Proportional to 518,447 and 741,382

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Solution

The third proportional to 518,447 and 741,382 is: 1,060,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,447 : 741,382 = 741,382 : x
  2. Step 2: Convert to fraction form
    518,447/741,382 = 741,382/x
  3. Step 3: Cross multiply
    518,447x = 741,382 × 741,382
  4. Step 4: Simplify right side
    518,447x = 549,647,269,924
  5. Step 5: Solve for x
    x = 549,647,269,924/518,447
  6. Step 6: Final answer
    x = 1,060,180.25

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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.