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Finding the Third Proportional to 443.25 and 619.63

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Solution

The third proportional to 443.25 and 619.63 is: 866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.25 : 619.63 = 619.63 : x
  2. Step 2: Convert to fraction form
    443.25/619.63 = 619.63/x
  3. Step 3: Cross multiply
    443.25x = 619.63 × 619.63
  4. Step 4: Simplify right side
    443.25x = 383,935.14
  5. Step 5: Solve for x
    x = 383,935.14/443.25
  6. Step 6: Final answer
    x = 866.18

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.