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Finding the Third Proportional to 276.64 and 595.90

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Solution

The third proportional to 276.64 and 595.90 is: 1,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.64 : 595.90 = 595.90 : x
  2. Step 2: Convert to fraction form
    276.64/595.90 = 595.90/x
  3. Step 3: Cross multiply
    276.64x = 595.90 × 595.90
  4. Step 4: Simplify right side
    276.64x = 355,094.95
  5. Step 5: Solve for x
    x = 355,094.95/276.64
  6. Step 6: Final answer
    x = 1,283.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.