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Finding the Third Proportional to 381,192 and 793,964

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Solution

The third proportional to 381,192 and 793,964 is: 1,653,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,192 : 793,964 = 793,964 : x
  2. Step 2: Convert to fraction form
    381,192/793,964 = 793,964/x
  3. Step 3: Cross multiply
    381,192x = 793,964 × 793,964
  4. Step 4: Simplify right side
    381,192x = 630,378,833,296
  5. Step 5: Solve for x
    x = 630,378,833,296/381,192
  6. Step 6: Final answer
    x = 1,653,704.26

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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.