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Finding the Third Proportional to 577,707 and 766,734

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Solution

The third proportional to 577,707 and 766,734 is: 1,017,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,707 : 766,734 = 766,734 : x
  2. Step 2: Convert to fraction form
    577,707/766,734 = 766,734/x
  3. Step 3: Cross multiply
    577,707x = 766,734 × 766,734
  4. Step 4: Simplify right side
    577,707x = 587,881,026,756
  5. Step 5: Solve for x
    x = 587,881,026,756/577,707
  6. Step 6: Final answer
    x = 1,017,611.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.