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Finding the Third Proportional to 290.25 and 641.25

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Solution

The third proportional to 290.25 and 641.25 is: 1,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.25 : 641.25 = 641.25 : x
  2. Step 2: Convert to fraction form
    290.25/641.25 = 641.25/x
  3. Step 3: Cross multiply
    290.25x = 641.25 × 641.25
  4. Step 4: Simplify right side
    290.25x = 411,201.56
  5. Step 5: Solve for x
    x = 411,201.56/290.25
  6. Step 6: Final answer
    x = 1,416.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.