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Finding the Third Proportional to 579.34 and 883.72

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Solution

The third proportional to 579.34 and 883.72 is: 1,348.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.34 : 883.72 = 883.72 : x
  2. Step 2: Convert to fraction form
    579.34/883.72 = 883.72/x
  3. Step 3: Cross multiply
    579.34x = 883.72 × 883.72
  4. Step 4: Simplify right side
    579.34x = 780,965.73
  5. Step 5: Solve for x
    x = 780,965.73/579.34
  6. Step 6: Final answer
    x = 1,348.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.