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Finding the Third Proportional to 370,443 and 796,111

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Solution

The third proportional to 370,443 and 796,111 is: 1,710,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,443 : 796,111 = 796,111 : x
  2. Step 2: Convert to fraction form
    370,443/796,111 = 796,111/x
  3. Step 3: Cross multiply
    370,443x = 796,111 × 796,111
  4. Step 4: Simplify right side
    370,443x = 633,792,724,321
  5. Step 5: Solve for x
    x = 633,792,724,321/370,443
  6. Step 6: Final answer
    x = 1,710,904.85

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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.