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Finding the Third Proportional to 253,694 and 333,669

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Solution

The third proportional to 253,694 and 333,669 is: 438,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,694 : 333,669 = 333,669 : x
  2. Step 2: Convert to fraction form
    253,694/333,669 = 333,669/x
  3. Step 3: Cross multiply
    253,694x = 333,669 × 333,669
  4. Step 4: Simplify right side
    253,694x = 111,335,001,561
  5. Step 5: Solve for x
    x = 111,335,001,561/253,694
  6. Step 6: Final answer
    x = 438,855.48

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.