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Finding the Third Proportional to 739.90 and 1,595.14

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Solution

The third proportional to 739.90 and 1,595.14 is: 3,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.90 : 1,595.14 = 1,595.14 : x
  2. Step 2: Convert to fraction form
    739.90/1,595.14 = 1,595.14/x
  3. Step 3: Cross multiply
    739.90x = 1,595.14 × 1,595.14
  4. Step 4: Simplify right side
    739.90x = 2,544,486.08
  5. Step 5: Solve for x
    x = 2,544,486.08/739.90
  6. Step 6: Final answer
    x = 3,438.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.