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Finding the Third Proportional to 577,908 and 1,255,932

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Solution

The third proportional to 577,908 and 1,255,932 is: 2,729,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,908 : 1,255,932 = 1,255,932 : x
  2. Step 2: Convert to fraction form
    577,908/1,255,932 = 1,255,932/x
  3. Step 3: Cross multiply
    577,908x = 1,255,932 × 1,255,932
  4. Step 4: Simplify right side
    577,908x = 1,577,365,188,624
  5. Step 5: Solve for x
    x = 1,577,365,188,624/577,908
  6. Step 6: Final answer
    x = 2,729,439.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.