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Finding the Third Proportional to 335,961.42 and 725,367.66

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Solution

The third proportional to 335,961.42 and 725,367.66 is: 1,566,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,961.42 : 725,367.66 = 725,367.66 : x
  2. Step 2: Convert to fraction form
    335,961.42/725,367.66 = 725,367.66/x
  3. Step 3: Cross multiply
    335,961.42x = 725,367.66 × 725,367.66
  4. Step 4: Simplify right side
    335,961.42x = 526,158,236,733.62
  5. Step 5: Solve for x
    x = 526,158,236,733.62/335,961.42
  6. Step 6: Final answer
    x = 1,566,126.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.