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Finding the Third Proportional to 779.31 and 1,167.06

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Solution

The third proportional to 779.31 and 1,167.06 is: 1,747.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.31 : 1,167.06 = 1,167.06 : x
  2. Step 2: Convert to fraction form
    779.31/1,167.06 = 1,167.06/x
  3. Step 3: Cross multiply
    779.31x = 1,167.06 × 1,167.06
  4. Step 4: Simplify right side
    779.31x = 1,362,039.44
  5. Step 5: Solve for x
    x = 1,362,039.44/779.31
  6. Step 6: Final answer
    x = 1,747.75

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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.