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Finding the Third Proportional to 233,001 and 475,782

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Solution

The third proportional to 233,001 and 475,782 is: 971,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,001 : 475,782 = 475,782 : x
  2. Step 2: Convert to fraction form
    233,001/475,782 = 475,782/x
  3. Step 3: Cross multiply
    233,001x = 475,782 × 475,782
  4. Step 4: Simplify right side
    233,001x = 226,368,511,524
  5. Step 5: Solve for x
    x = 226,368,511,524/233,001
  6. Step 6: Final answer
    x = 971,534.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.