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Finding the Third Proportional to 290.46 and 619.37

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Solution

The third proportional to 290.46 and 619.37 is: 1,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 619.37 = 619.37 : x
  2. Step 2: Convert to fraction form
    290.46/619.37 = 619.37/x
  3. Step 3: Cross multiply
    290.46x = 619.37 × 619.37
  4. Step 4: Simplify right side
    290.46x = 383,613.29
  5. Step 5: Solve for x
    x = 383,613.29/290.46
  6. Step 6: Final answer
    x = 1,320.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.