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Finding the Third Proportional to 741.50 and 1,115.50

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Solution

The third proportional to 741.50 and 1,115.50 is: 1,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.50 : 1,115.50 = 1,115.50 : x
  2. Step 2: Convert to fraction form
    741.50/1,115.50 = 1,115.50/x
  3. Step 3: Cross multiply
    741.50x = 1,115.50 × 1,115.50
  4. Step 4: Simplify right side
    741.50x = 1,244,340.25
  5. Step 5: Solve for x
    x = 1,244,340.25/741.50
  6. Step 6: Final answer
    x = 1,678.14

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Why These Related Problems?

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