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Finding the Third Proportional to 298.25 and 652.75

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Solution

The third proportional to 298.25 and 652.75 is: 1,428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.25 : 652.75 = 652.75 : x
  2. Step 2: Convert to fraction form
    298.25/652.75 = 652.75/x
  3. Step 3: Cross multiply
    298.25x = 652.75 × 652.75
  4. Step 4: Simplify right side
    298.25x = 426,082.56
  5. Step 5: Solve for x
    x = 426,082.56/298.25
  6. Step 6: Final answer
    x = 1,428.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.