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Finding the Third Proportional to 719.25 and 1,530.75

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Solution

The third proportional to 719.25 and 1,530.75 is: 3,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.25 : 1,530.75 = 1,530.75 : x
  2. Step 2: Convert to fraction form
    719.25/1,530.75 = 1,530.75/x
  3. Step 3: Cross multiply
    719.25x = 1,530.75 × 1,530.75
  4. Step 4: Simplify right side
    719.25x = 2,343,195.56
  5. Step 5: Solve for x
    x = 2,343,195.56/719.25
  6. Step 6: Final answer
    x = 3,257.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.