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Finding the Third Proportional to 625.22 and 699.05

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Solution

The third proportional to 625.22 and 699.05 is: 781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.22 : 699.05 = 699.05 : x
  2. Step 2: Convert to fraction form
    625.22/699.05 = 699.05/x
  3. Step 3: Cross multiply
    625.22x = 699.05 × 699.05
  4. Step 4: Simplify right side
    625.22x = 488,666.53
  5. Step 5: Solve for x
    x = 488,666.53/625.22
  6. Step 6: Final answer
    x = 781.59

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.