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Finding the Third Proportional to 290.25 and 409.15

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Solution

The third proportional to 290.25 and 409.15 is: 576.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.25 : 409.15 = 409.15 : x
  2. Step 2: Convert to fraction form
    290.25/409.15 = 409.15/x
  3. Step 3: Cross multiply
    290.25x = 409.15 × 409.15
  4. Step 4: Simplify right side
    290.25x = 167,402.44
  5. Step 5: Solve for x
    x = 167,402.44/290.25
  6. Step 6: Final answer
    x = 576.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.