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Finding the Third Proportional to 327,748.50 and 715,074

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Solution

The third proportional to 327,748.50 and 715,074 is: 1,560,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,748.50 : 715,074 = 715,074 : x
  2. Step 2: Convert to fraction form
    327,748.50/715,074 = 715,074/x
  3. Step 3: Cross multiply
    327,748.50x = 715,074 × 715,074
  4. Step 4: Simplify right side
    327,748.50x = 511,330,825,476
  5. Step 5: Solve for x
    x = 511,330,825,476/327,748.50
  6. Step 6: Final answer
    x = 1,560,131.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.