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Finding the Third Proportional to 798.19 and 1,195.59

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Solution

The third proportional to 798.19 and 1,195.59 is: 1,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.19 : 1,195.59 = 1,195.59 : x
  2. Step 2: Convert to fraction form
    798.19/1,195.59 = 1,195.59/x
  3. Step 3: Cross multiply
    798.19x = 1,195.59 × 1,195.59
  4. Step 4: Simplify right side
    798.19x = 1,429,444.42
  5. Step 5: Solve for x
    x = 1,429,444.42/798.19
  6. Step 6: Final answer
    x = 1,790.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.