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Finding the Third Proportional to 393,874.50 and 859,041

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Solution

The third proportional to 393,874.50 and 859,041 is: 1,873,569.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,874.50 : 859,041 = 859,041 : x
  2. Step 2: Convert to fraction form
    393,874.50/859,041 = 859,041/x
  3. Step 3: Cross multiply
    393,874.50x = 859,041 × 859,041
  4. Step 4: Simplify right side
    393,874.50x = 737,951,439,681
  5. Step 5: Solve for x
    x = 737,951,439,681/393,874.50
  6. Step 6: Final answer
    x = 1,873,569.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.