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Finding the Third Proportional to 486.88 and 699.88

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Solution

The third proportional to 486.88 and 699.88 is: 1,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.88 : 699.88 = 699.88 : x
  2. Step 2: Convert to fraction form
    486.88/699.88 = 699.88/x
  3. Step 3: Cross multiply
    486.88x = 699.88 × 699.88
  4. Step 4: Simplify right side
    486.88x = 489,825.02
  5. Step 5: Solve for x
    x = 489,825.02/486.88
  6. Step 6: Final answer
    x = 1,006.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.