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Finding the Third Proportional to 333,180 and 474,847

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Solution

The third proportional to 333,180 and 474,847 is: 676,750.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,180 : 474,847 = 474,847 : x
  2. Step 2: Convert to fraction form
    333,180/474,847 = 474,847/x
  3. Step 3: Cross multiply
    333,180x = 474,847 × 474,847
  4. Step 4: Simplify right side
    333,180x = 225,479,673,409
  5. Step 5: Solve for x
    x = 225,479,673,409/333,180
  6. Step 6: Final answer
    x = 676,750.33

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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.