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Finding the Third Proportional to 219,714 and 329,577

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Solution

The third proportional to 219,714 and 329,577 is: 494,374.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,714 : 329,577 = 329,577 : x
  2. Step 2: Convert to fraction form
    219,714/329,577 = 329,577/x
  3. Step 3: Cross multiply
    219,714x = 329,577 × 329,577
  4. Step 4: Simplify right side
    219,714x = 108,620,998,929
  5. Step 5: Solve for x
    x = 108,620,998,929/219,714
  6. Step 6: Final answer
    x = 494,374.50

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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.