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Finding the Third Proportional to 369,469 and 794,192

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Solution

The third proportional to 369,469 and 794,192 is: 1,707,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,469 : 794,192 = 794,192 : x
  2. Step 2: Convert to fraction form
    369,469/794,192 = 794,192/x
  3. Step 3: Cross multiply
    369,469x = 794,192 × 794,192
  4. Step 4: Simplify right side
    369,469x = 630,740,932,864
  5. Step 5: Solve for x
    x = 630,740,932,864/369,469
  6. Step 6: Final answer
    x = 1,707,155.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.