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Finding the Third Proportional to 409.25 and 612.38

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Solution

The third proportional to 409.25 and 612.38 is: 916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.25 : 612.38 = 612.38 : x
  2. Step 2: Convert to fraction form
    409.25/612.38 = 612.38/x
  3. Step 3: Cross multiply
    409.25x = 612.38 × 612.38
  4. Step 4: Simplify right side
    409.25x = 375,003.14
  5. Step 5: Solve for x
    x = 375,003.14/409.25
  6. Step 6: Final answer
    x = 916.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.