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Finding the Third Proportional to 410.25 and 609.38

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Solution

The third proportional to 410.25 and 609.38 is: 905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.25 : 609.38 = 609.38 : x
  2. Step 2: Convert to fraction form
    410.25/609.38 = 609.38/x
  3. Step 3: Cross multiply
    410.25x = 609.38 × 609.38
  4. Step 4: Simplify right side
    410.25x = 371,337.89
  5. Step 5: Solve for x
    x = 371,337.89/410.25
  6. Step 6: Final answer
    x = 905.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.