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Finding the Third Proportional to 326,768 and 717,974

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Solution

The third proportional to 326,768 and 717,974 is: 1,577,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,768 : 717,974 = 717,974 : x
  2. Step 2: Convert to fraction form
    326,768/717,974 = 717,974/x
  3. Step 3: Cross multiply
    326,768x = 717,974 × 717,974
  4. Step 4: Simplify right side
    326,768x = 515,486,664,676
  5. Step 5: Solve for x
    x = 515,486,664,676/326,768
  6. Step 6: Final answer
    x = 1,577,531.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.