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Finding the Third Proportional to 1,177.22 and 1,729.83

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Solution

The third proportional to 1,177.22 and 1,729.83 is: 2,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.22 : 1,729.83 = 1,729.83 : x
  2. Step 2: Convert to fraction form
    1,177.22/1,729.83 = 1,729.83/x
  3. Step 3: Cross multiply
    1,177.22x = 1,729.83 × 1,729.83
  4. Step 4: Simplify right side
    1,177.22x = 2,992,305.34
  5. Step 5: Solve for x
    x = 2,992,305.34/1,177.22
  6. Step 6: Final answer
    x = 2,541.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.