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Finding the Third Proportional to 276.89 and 602.58

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Solution

The third proportional to 276.89 and 602.58 is: 1,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.89 : 602.58 = 602.58 : x
  2. Step 2: Convert to fraction form
    276.89/602.58 = 602.58/x
  3. Step 3: Cross multiply
    276.89x = 602.58 × 602.58
  4. Step 4: Simplify right side
    276.89x = 363,100.40
  5. Step 5: Solve for x
    x = 363,100.40/276.89
  6. Step 6: Final answer
    x = 1,311.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.