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Finding the Third Proportional to 548,354 and 747,039

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Solution

The third proportional to 548,354 and 747,039 is: 1,017,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,354 : 747,039 = 747,039 : x
  2. Step 2: Convert to fraction form
    548,354/747,039 = 747,039/x
  3. Step 3: Cross multiply
    548,354x = 747,039 × 747,039
  4. Step 4: Simplify right side
    548,354x = 558,067,267,521
  5. Step 5: Solve for x
    x = 558,067,267,521/548,354
  6. Step 6: Final answer
    x = 1,017,713.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.