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Finding the Third Proportional to 276.93 and 597.30

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Solution

The third proportional to 276.93 and 597.30 is: 1,288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.93 : 597.30 = 597.30 : x
  2. Step 2: Convert to fraction form
    276.93/597.30 = 597.30/x
  3. Step 3: Cross multiply
    276.93x = 597.30 × 597.30
  4. Step 4: Simplify right side
    276.93x = 356,762.39
  5. Step 5: Solve for x
    x = 356,762.39/276.93
  6. Step 6: Final answer
    x = 1,288.26

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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.