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Finding the Third Proportional to 776.91 and 1,514.44

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Solution

The third proportional to 776.91 and 1,514.44 is: 2,952.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.91 : 1,514.44 = 1,514.44 : x
  2. Step 2: Convert to fraction form
    776.91/1,514.44 = 1,514.44/x
  3. Step 3: Cross multiply
    776.91x = 1,514.44 × 1,514.44
  4. Step 4: Simplify right side
    776.91x = 2,293,520.94
  5. Step 5: Solve for x
    x = 2,293,520.94/776.91
  6. Step 6: Final answer
    x = 2,952.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.