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Finding the Third Proportional to 220,008 and 330,498

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Solution

The third proportional to 220,008 and 330,498 is: 496,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,008 : 330,498 = 330,498 : x
  2. Step 2: Convert to fraction form
    220,008/330,498 = 330,498/x
  3. Step 3: Cross multiply
    220,008x = 330,498 × 330,498
  4. Step 4: Simplify right side
    220,008x = 109,228,928,004
  5. Step 5: Solve for x
    x = 109,228,928,004/220,008
  6. Step 6: Final answer
    x = 496,477.07

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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.