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Finding the Third Proportional to 550,616 and 833,545

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Solution

The third proportional to 550,616 and 833,545 is: 1,261,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,616 : 833,545 = 833,545 : x
  2. Step 2: Convert to fraction form
    550,616/833,545 = 833,545/x
  3. Step 3: Cross multiply
    550,616x = 833,545 × 833,545
  4. Step 4: Simplify right side
    550,616x = 694,797,267,025
  5. Step 5: Solve for x
    x = 694,797,267,025/550,616
  6. Step 6: Final answer
    x = 1,261,854.48

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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.