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Finding the Third Proportional to 577,876 and 860,694

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Solution

The third proportional to 577,876 and 860,694 is: 1,281,925.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,876 : 860,694 = 860,694 : x
  2. Step 2: Convert to fraction form
    577,876/860,694 = 860,694/x
  3. Step 3: Cross multiply
    577,876x = 860,694 × 860,694
  4. Step 4: Simplify right side
    577,876x = 740,794,161,636
  5. Step 5: Solve for x
    x = 740,794,161,636/577,876
  6. Step 6: Final answer
    x = 1,281,925.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.