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Finding the Third Proportional to 736.17 and 1,201.08

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Solution

The third proportional to 736.17 and 1,201.08 is: 1,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.17 : 1,201.08 = 1,201.08 : x
  2. Step 2: Convert to fraction form
    736.17/1,201.08 = 1,201.08/x
  3. Step 3: Cross multiply
    736.17x = 1,201.08 × 1,201.08
  4. Step 4: Simplify right side
    736.17x = 1,442,588.66
  5. Step 5: Solve for x
    x = 1,442,588.66/736.17
  6. Step 6: Final answer
    x = 1,959.58

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.