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Finding the Third Proportional to 532,759 and 814,995

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Solution

The third proportional to 532,759 and 814,995 is: 1,246,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,759 : 814,995 = 814,995 : x
  2. Step 2: Convert to fraction form
    532,759/814,995 = 814,995/x
  3. Step 3: Cross multiply
    532,759x = 814,995 × 814,995
  4. Step 4: Simplify right side
    532,759x = 664,216,850,025
  5. Step 5: Solve for x
    x = 664,216,850,025/532,759
  6. Step 6: Final answer
    x = 1,246,749.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.