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Finding the Third Proportional to 1,458.56 and 2,319.05

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Solution

The third proportional to 1,458.56 and 2,319.05 is: 3,687.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.56 : 2,319.05 = 2,319.05 : x
  2. Step 2: Convert to fraction form
    1,458.56/2,319.05 = 2,319.05/x
  3. Step 3: Cross multiply
    1,458.56x = 2,319.05 × 2,319.05
  4. Step 4: Simplify right side
    1,458.56x = 5,377,978.41
  5. Step 5: Solve for x
    x = 5,377,978.41/1,458.56
  6. Step 6: Final answer
    x = 3,687.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.