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Finding the Third Proportional to 322 and 540

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Solution

The third proportional to 322 and 540 is: 905.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    322 : 540 = 540 : x
  2. Step 2: Convert to fraction form
    322/540 = 540/x
  3. Step 3: Cross multiply
    322x = 540 × 540
  4. Step 4: Simplify right side
    322x = 291,600
  5. Step 5: Solve for x
    x = 291,600/322
  6. Step 6: Final answer
    x = 905.59

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These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.