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Finding the Third Proportional to 511.19 and 679.88

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Solution

The third proportional to 511.19 and 679.88 is: 904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.19 : 679.88 = 679.88 : x
  2. Step 2: Convert to fraction form
    511.19/679.88 = 679.88/x
  3. Step 3: Cross multiply
    511.19x = 679.88 × 679.88
  4. Step 4: Simplify right side
    511.19x = 462,230.02
  5. Step 5: Solve for x
    x = 462,230.02/511.19
  6. Step 6: Final answer
    x = 904.23

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.