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Finding the Third Proportional to 330,092 and 445,749

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Solution

The third proportional to 330,092 and 445,749 is: 601,929.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,092 : 445,749 = 445,749 : x
  2. Step 2: Convert to fraction form
    330,092/445,749 = 445,749/x
  3. Step 3: Cross multiply
    330,092x = 445,749 × 445,749
  4. Step 4: Simplify right side
    330,092x = 198,692,171,001
  5. Step 5: Solve for x
    x = 198,692,171,001/330,092
  6. Step 6: Final answer
    x = 601,929.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.