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Finding the Third Proportional to 404.91 and 662.81

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Solution

The third proportional to 404.91 and 662.81 is: 1,084.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.91 : 662.81 = 662.81 : x
  2. Step 2: Convert to fraction form
    404.91/662.81 = 662.81/x
  3. Step 3: Cross multiply
    404.91x = 662.81 × 662.81
  4. Step 4: Simplify right side
    404.91x = 439,320.41
  5. Step 5: Solve for x
    x = 439,320.41/404.91
  6. Step 6: Final answer
    x = 1,084.99

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.