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Finding the Third Proportional to 677.53 and 1,468.97

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Solution

The third proportional to 677.53 and 1,468.97 is: 3,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.53 : 1,468.97 = 1,468.97 : x
  2. Step 2: Convert to fraction form
    677.53/1,468.97 = 1,468.97/x
  3. Step 3: Cross multiply
    677.53x = 1,468.97 × 1,468.97
  4. Step 4: Simplify right side
    677.53x = 2,157,869.19
  5. Step 5: Solve for x
    x = 2,157,869.19/677.53
  6. Step 6: Final answer
    x = 3,184.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.