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Finding the Third Proportional to 381,235.50 and 794,073

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Solution

The third proportional to 381,235.50 and 794,073 is: 1,653,969.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,235.50 : 794,073 = 794,073 : x
  2. Step 2: Convert to fraction form
    381,235.50/794,073 = 794,073/x
  3. Step 3: Cross multiply
    381,235.50x = 794,073 × 794,073
  4. Step 4: Simplify right side
    381,235.50x = 630,551,929,329
  5. Step 5: Solve for x
    x = 630,551,929,329/381,235.50
  6. Step 6: Final answer
    x = 1,653,969.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.