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Finding the Third Proportional to 747.50 and 1,181.75

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Solution

The third proportional to 747.50 and 1,181.75 is: 1,868.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.50 : 1,181.75 = 1,181.75 : x
  2. Step 2: Convert to fraction form
    747.50/1,181.75 = 1,181.75/x
  3. Step 3: Cross multiply
    747.50x = 1,181.75 × 1,181.75
  4. Step 4: Simplify right side
    747.50x = 1,396,533.06
  5. Step 5: Solve for x
    x = 1,396,533.06/747.50
  6. Step 6: Final answer
    x = 1,868.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.