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Finding the Third Proportional to 739.25 and 1,159.63

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Solution

The third proportional to 739.25 and 1,159.63 is: 1,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.25 : 1,159.63 = 1,159.63 : x
  2. Step 2: Convert to fraction form
    739.25/1,159.63 = 1,159.63/x
  3. Step 3: Cross multiply
    739.25x = 1,159.63 × 1,159.63
  4. Step 4: Simplify right side
    739.25x = 1,344,730.14
  5. Step 5: Solve for x
    x = 1,344,730.14/739.25
  6. Step 6: Final answer
    x = 1,819.05

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.