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Finding the Third Proportional to 677.56 and 1,016.35

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Solution

The third proportional to 677.56 and 1,016.35 is: 1,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.56 : 1,016.35 = 1,016.35 : x
  2. Step 2: Convert to fraction form
    677.56/1,016.35 = 1,016.35/x
  3. Step 3: Cross multiply
    677.56x = 1,016.35 × 1,016.35
  4. Step 4: Simplify right side
    677.56x = 1,032,959.83
  5. Step 5: Solve for x
    x = 1,032,959.83/677.56
  6. Step 6: Final answer
    x = 1,524.52

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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.