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Finding the Third Proportional to 322.75 and 438.50

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Solution

The third proportional to 322.75 and 438.50 is: 595.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.75 : 438.50 = 438.50 : x
  2. Step 2: Convert to fraction form
    322.75/438.50 = 438.50/x
  3. Step 3: Cross multiply
    322.75x = 438.50 × 438.50
  4. Step 4: Simplify right side
    322.75x = 192,282.25
  5. Step 5: Solve for x
    x = 192,282.25/322.75
  6. Step 6: Final answer
    x = 595.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.