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Finding the Third Proportional to 342,424.13 and 532,286.44

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Solution

The third proportional to 342,424.13 and 532,286.44 is: 827,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,424.13 : 532,286.44 = 532,286.44 : x
  2. Step 2: Convert to fraction form
    342,424.13/532,286.44 = 532,286.44/x
  3. Step 3: Cross multiply
    342,424.13x = 532,286.44 × 532,286.44
  4. Step 4: Simplify right side
    342,424.13x = 283,328,851,546.44
  5. Step 5: Solve for x
    x = 283,328,851,546.44/342,424.13
  6. Step 6: Final answer
    x = 827,420.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.