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Finding the Third Proportional to 332,899 and 471,041

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Solution

The third proportional to 332,899 and 471,041 is: 666,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,899 : 471,041 = 471,041 : x
  2. Step 2: Convert to fraction form
    332,899/471,041 = 471,041/x
  3. Step 3: Cross multiply
    332,899x = 471,041 × 471,041
  4. Step 4: Simplify right side
    332,899x = 221,879,623,681
  5. Step 5: Solve for x
    x = 221,879,623,681/332,899
  6. Step 6: Final answer
    x = 666,507.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.