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Finding the Third Proportional to 205,032 and 440,720

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Solution

The third proportional to 205,032 and 440,720 is: 947,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,032 : 440,720 = 440,720 : x
  2. Step 2: Convert to fraction form
    205,032/440,720 = 440,720/x
  3. Step 3: Cross multiply
    205,032x = 440,720 × 440,720
  4. Step 4: Simplify right side
    205,032x = 194,234,118,400
  5. Step 5: Solve for x
    x = 194,234,118,400/205,032
  6. Step 6: Final answer
    x = 947,335.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.