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Finding the Third Proportional to 875.39 and 1,314.56

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Solution

The third proportional to 875.39 and 1,314.56 is: 1,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.39 : 1,314.56 = 1,314.56 : x
  2. Step 2: Convert to fraction form
    875.39/1,314.56 = 1,314.56/x
  3. Step 3: Cross multiply
    875.39x = 1,314.56 × 1,314.56
  4. Step 4: Simplify right side
    875.39x = 1,728,074.57
  5. Step 5: Solve for x
    x = 1,728,074.57/875.39
  6. Step 6: Final answer
    x = 1,974.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.