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Finding the Third Proportional to 279.84 and 498.66

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Solution

The third proportional to 279.84 and 498.66 is: 888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 498.66 = 498.66 : x
  2. Step 2: Convert to fraction form
    279.84/498.66 = 498.66/x
  3. Step 3: Cross multiply
    279.84x = 498.66 × 498.66
  4. Step 4: Simplify right side
    279.84x = 248,658.06
  5. Step 5: Solve for x
    x = 248,658.06/279.84
  6. Step 6: Final answer
    x = 888.56

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.