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Finding the Third Proportional to 702.84 and 1,513.69

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Solution

The third proportional to 702.84 and 1,513.69 is: 3,259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 1,513.69 = 1,513.69 : x
  2. Step 2: Convert to fraction form
    702.84/1,513.69 = 1,513.69/x
  3. Step 3: Cross multiply
    702.84x = 1,513.69 × 1,513.69
  4. Step 4: Simplify right side
    702.84x = 2,291,249.85
  5. Step 5: Solve for x
    x = 2,291,249.85/702.84
  6. Step 6: Final answer
    x = 3,259.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.