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Finding the Third Proportional to 780.26 and 1,167.54

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Solution

The third proportional to 780.26 and 1,167.54 is: 1,747.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.26 : 1,167.54 = 1,167.54 : x
  2. Step 2: Convert to fraction form
    780.26/1,167.54 = 1,167.54/x
  3. Step 3: Cross multiply
    780.26x = 1,167.54 × 1,167.54
  4. Step 4: Simplify right side
    780.26x = 1,363,147.46
  5. Step 5: Solve for x
    x = 1,363,147.46/780.26
  6. Step 6: Final answer
    x = 1,747.05

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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.