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Finding the Third Proportional to 677.81 and 1,401.19

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Solution

The third proportional to 677.81 and 1,401.19 is: 2,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.81 : 1,401.19 = 1,401.19 : x
  2. Step 2: Convert to fraction form
    677.81/1,401.19 = 1,401.19/x
  3. Step 3: Cross multiply
    677.81x = 1,401.19 × 1,401.19
  4. Step 4: Simplify right side
    677.81x = 1,963,326.41
  5. Step 5: Solve for x
    x = 1,963,326.41/677.81
  6. Step 6: Final answer
    x = 2,896.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.