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Finding the Third Proportional to 772.03 and 1,201.08

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Solution

The third proportional to 772.03 and 1,201.08 is: 1,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.03 : 1,201.08 = 1,201.08 : x
  2. Step 2: Convert to fraction form
    772.03/1,201.08 = 1,201.08/x
  3. Step 3: Cross multiply
    772.03x = 1,201.08 × 1,201.08
  4. Step 4: Simplify right side
    772.03x = 1,442,588.66
  5. Step 5: Solve for x
    x = 1,442,588.66/772.03
  6. Step 6: Final answer
    x = 1,868.56

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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.