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Finding the Third Proportional to 788.06 and 1,456.31

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Solution

The third proportional to 788.06 and 1,456.31 is: 2,691.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.06 : 1,456.31 = 1,456.31 : x
  2. Step 2: Convert to fraction form
    788.06/1,456.31 = 1,456.31/x
  3. Step 3: Cross multiply
    788.06x = 1,456.31 × 1,456.31
  4. Step 4: Simplify right side
    788.06x = 2,120,846.10
  5. Step 5: Solve for x
    x = 2,120,846.10/788.06
  6. Step 6: Final answer
    x = 2,691.22

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.