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Finding the Third Proportional to 300,894.75 and 479,034

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Solution

The third proportional to 300,894.75 and 479,034 is: 762,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,894.75 : 479,034 = 479,034 : x
  2. Step 2: Convert to fraction form
    300,894.75/479,034 = 479,034/x
  3. Step 3: Cross multiply
    300,894.75x = 479,034 × 479,034
  4. Step 4: Simplify right side
    300,894.75x = 229,473,573,156
  5. Step 5: Solve for x
    x = 229,473,573,156/300,894.75
  6. Step 6: Final answer
    x = 762,637.34

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.