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Finding the Third Proportional to 532,757.25 and 814,991.63

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Solution

The third proportional to 532,757.25 and 814,991.63 is: 1,246,742.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,757.25 : 814,991.63 = 814,991.63 : x
  2. Step 2: Convert to fraction form
    532,757.25/814,991.63 = 814,991.63/x
  3. Step 3: Cross multiply
    532,757.25x = 814,991.63 × 814,991.63
  4. Step 4: Simplify right side
    532,757.25x = 664,211,348,820.14
  5. Step 5: Solve for x
    x = 664,211,348,820.14/532,757.25
  6. Step 6: Final answer
    x = 1,246,742.96

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