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Finding the Third Proportional to 776.25 and 1,161.75

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Solution

The third proportional to 776.25 and 1,161.75 is: 1,738.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.25 : 1,161.75 = 1,161.75 : x
  2. Step 2: Convert to fraction form
    776.25/1,161.75 = 1,161.75/x
  3. Step 3: Cross multiply
    776.25x = 1,161.75 × 1,161.75
  4. Step 4: Simplify right side
    776.25x = 1,349,663.06
  5. Step 5: Solve for x
    x = 1,349,663.06/776.25
  6. Step 6: Final answer
    x = 1,738.70

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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.