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Finding the Third Proportional to 779.06 and 1,233.28

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Solution

The third proportional to 779.06 and 1,233.28 is: 1,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.06 : 1,233.28 = 1,233.28 : x
  2. Step 2: Convert to fraction form
    779.06/1,233.28 = 1,233.28/x
  3. Step 3: Cross multiply
    779.06x = 1,233.28 × 1,233.28
  4. Step 4: Simplify right side
    779.06x = 1,520,982.64
  5. Step 5: Solve for x
    x = 1,520,982.64/779.06
  6. Step 6: Final answer
    x = 1,952.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.