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Finding the Third Proportional to 898.97 and 1,206.69

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Solution

The third proportional to 898.97 and 1,206.69 is: 1,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.97 : 1,206.69 = 1,206.69 : x
  2. Step 2: Convert to fraction form
    898.97/1,206.69 = 1,206.69/x
  3. Step 3: Cross multiply
    898.97x = 1,206.69 × 1,206.69
  4. Step 4: Simplify right side
    898.97x = 1,456,094.72
  5. Step 5: Solve for x
    x = 1,456,094.72/898.97
  6. Step 6: Final answer
    x = 1,619.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.