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Finding the Third Proportional to 451.71 and 677.56

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Solution

The third proportional to 451.71 and 677.56 is: 1,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.71 : 677.56 = 677.56 : x
  2. Step 2: Convert to fraction form
    451.71/677.56 = 677.56/x
  3. Step 3: Cross multiply
    451.71x = 677.56 × 677.56
  4. Step 4: Simplify right side
    451.71x = 459,093.26
  5. Step 5: Solve for x
    x = 459,093.26/451.71
  6. Step 6: Final answer
    x = 1,016.35

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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.