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Finding the Third Proportional to 278,723 and 596,799

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Solution

The third proportional to 278,723 and 596,799 is: 1,277,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,723 : 596,799 = 596,799 : x
  2. Step 2: Convert to fraction form
    278,723/596,799 = 596,799/x
  3. Step 3: Cross multiply
    278,723x = 596,799 × 596,799
  4. Step 4: Simplify right side
    278,723x = 356,169,046,401
  5. Step 5: Solve for x
    x = 356,169,046,401/278,723
  6. Step 6: Final answer
    x = 1,277,860.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.