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Finding the Third Proportional to 809.50 and 1,097.75

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Solution

The third proportional to 809.50 and 1,097.75 is: 1,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.50 : 1,097.75 = 1,097.75 : x
  2. Step 2: Convert to fraction form
    809.50/1,097.75 = 1,097.75/x
  3. Step 3: Cross multiply
    809.50x = 1,097.75 × 1,097.75
  4. Step 4: Simplify right side
    809.50x = 1,205,055.06
  5. Step 5: Solve for x
    x = 1,205,055.06/809.50
  6. Step 6: Final answer
    x = 1,488.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.