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Finding the Third Proportional to 219,350 and 330,644

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Solution

The third proportional to 219,350 and 330,644 is: 498,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,350 : 330,644 = 330,644 : x
  2. Step 2: Convert to fraction form
    219,350/330,644 = 330,644/x
  3. Step 3: Cross multiply
    219,350x = 330,644 × 330,644
  4. Step 4: Simplify right side
    219,350x = 109,325,454,736
  5. Step 5: Solve for x
    x = 109,325,454,736/219,350
  6. Step 6: Final answer
    x = 498,406.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.