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Finding the Third Proportional to 677.11 and 1,097.93

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Solution

The third proportional to 677.11 and 1,097.93 is: 1,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.11 : 1,097.93 = 1,097.93 : x
  2. Step 2: Convert to fraction form
    677.11/1,097.93 = 1,097.93/x
  3. Step 3: Cross multiply
    677.11x = 1,097.93 × 1,097.93
  4. Step 4: Simplify right side
    677.11x = 1,205,449.60
  5. Step 5: Solve for x
    x = 1,205,449.60/677.11
  6. Step 6: Final answer
    x = 1,780.29

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.