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Finding the Third Proportional to 541,524 and 793,812

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Solution

The third proportional to 541,524 and 793,812 is: 1,163,637.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,524 : 793,812 = 793,812 : x
  2. Step 2: Convert to fraction form
    541,524/793,812 = 793,812/x
  3. Step 3: Cross multiply
    541,524x = 793,812 × 793,812
  4. Step 4: Simplify right side
    541,524x = 630,137,491,344
  5. Step 5: Solve for x
    x = 630,137,491,344/541,524
  6. Step 6: Final answer
    x = 1,163,637.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.