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Finding the Third Proportional to 774.56 and 1,702.90

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Solution

The third proportional to 774.56 and 1,702.90 is: 3,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.56 : 1,702.90 = 1,702.90 : x
  2. Step 2: Convert to fraction form
    774.56/1,702.90 = 1,702.90/x
  3. Step 3: Cross multiply
    774.56x = 1,702.90 × 1,702.90
  4. Step 4: Simplify right side
    774.56x = 2,899,863.09
  5. Step 5: Solve for x
    x = 2,899,863.09/774.56
  6. Step 6: Final answer
    x = 3,743.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.