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Finding the Third Proportional to 333,181 and 474,849

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Solution

The third proportional to 333,181 and 474,849 is: 676,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,181 : 474,849 = 474,849 : x
  2. Step 2: Convert to fraction form
    333,181/474,849 = 474,849/x
  3. Step 3: Cross multiply
    333,181x = 474,849 × 474,849
  4. Step 4: Simplify right side
    333,181x = 225,481,572,801
  5. Step 5: Solve for x
    x = 225,481,572,801/333,181
  6. Step 6: Final answer
    x = 676,753.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.