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Finding the Third Proportional to 362.81 and 643.03

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Solution

The third proportional to 362.81 and 643.03 is: 1,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.81 : 643.03 = 643.03 : x
  2. Step 2: Convert to fraction form
    362.81/643.03 = 643.03/x
  3. Step 3: Cross multiply
    362.81x = 643.03 × 643.03
  4. Step 4: Simplify right side
    362.81x = 413,489.19
  5. Step 5: Solve for x
    x = 413,489.19/362.81
  6. Step 6: Final answer
    x = 1,139.68

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.