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Finding the Third Proportional to 404.06 and 609.47

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Solution

The third proportional to 404.06 and 609.47 is: 919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.06 : 609.47 = 609.47 : x
  2. Step 2: Convert to fraction form
    404.06/609.47 = 609.47/x
  3. Step 3: Cross multiply
    404.06x = 609.47 × 609.47
  4. Step 4: Simplify right side
    404.06x = 371,452.16
  5. Step 5: Solve for x
    x = 371,452.16/404.06
  6. Step 6: Final answer
    x = 919.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.