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Finding the Third Proportional to 550,614 and 833,542

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Solution

The third proportional to 550,614 and 833,542 is: 1,261,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,614 : 833,542 = 833,542 : x
  2. Step 2: Convert to fraction form
    550,614/833,542 = 833,542/x
  3. Step 3: Cross multiply
    550,614x = 833,542 × 833,542
  4. Step 4: Simplify right side
    550,614x = 694,792,265,764
  5. Step 5: Solve for x
    x = 694,792,265,764/550,614
  6. Step 6: Final answer
    x = 1,261,849.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.