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Finding the Third Proportional to 220,460 and 329,832

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Solution

The third proportional to 220,460 and 329,832 is: 493,464.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,460 : 329,832 = 329,832 : x
  2. Step 2: Convert to fraction form
    220,460/329,832 = 329,832/x
  3. Step 3: Cross multiply
    220,460x = 329,832 × 329,832
  4. Step 4: Simplify right side
    220,460x = 108,789,148,224
  5. Step 5: Solve for x
    x = 108,789,148,224/220,460
  6. Step 6: Final answer
    x = 493,464.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.