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Finding the Third Proportional to 334,694 and 509,885

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Solution

The third proportional to 334,694 and 509,885 is: 776,777.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,694 : 509,885 = 509,885 : x
  2. Step 2: Convert to fraction form
    334,694/509,885 = 509,885/x
  3. Step 3: Cross multiply
    334,694x = 509,885 × 509,885
  4. Step 4: Simplify right side
    334,694x = 259,982,713,225
  5. Step 5: Solve for x
    x = 259,982,713,225/334,694
  6. Step 6: Final answer
    x = 776,777.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.