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Finding the Third Proportional to 649.81 and 1,404.06

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Solution

The third proportional to 649.81 and 1,404.06 is: 3,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.81 : 1,404.06 = 1,404.06 : x
  2. Step 2: Convert to fraction form
    649.81/1,404.06 = 1,404.06/x
  3. Step 3: Cross multiply
    649.81x = 1,404.06 × 1,404.06
  4. Step 4: Simplify right side
    649.81x = 1,971,391.50
  5. Step 5: Solve for x
    x = 1,971,391.50/649.81
  6. Step 6: Final answer
    x = 3,033.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.