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Finding the Third Proportional to 579.02 and 1,248.54

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Solution

The third proportional to 579.02 and 1,248.54 is: 2,692.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.02 : 1,248.54 = 1,248.54 : x
  2. Step 2: Convert to fraction form
    579.02/1,248.54 = 1,248.54/x
  3. Step 3: Cross multiply
    579.02x = 1,248.54 × 1,248.54
  4. Step 4: Simplify right side
    579.02x = 1,558,849.79
  5. Step 5: Solve for x
    x = 1,558,849.79/579.02
  6. Step 6: Final answer
    x = 2,692.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.