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Finding the Third Proportional to 768.87 and 1,201.35

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Solution

The third proportional to 768.87 and 1,201.35 is: 1,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.87 : 1,201.35 = 1,201.35 : x
  2. Step 2: Convert to fraction form
    768.87/1,201.35 = 1,201.35/x
  3. Step 3: Cross multiply
    768.87x = 1,201.35 × 1,201.35
  4. Step 4: Simplify right side
    768.87x = 1,443,253.79
  5. Step 5: Solve for x
    x = 1,443,253.79/768.87
  6. Step 6: Final answer
    x = 1,877.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.