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Finding the Third Proportional to 365,825 and 798,682

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Solution

The third proportional to 365,825 and 798,682 is: 1,743,710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,825 : 798,682 = 798,682 : x
  2. Step 2: Convert to fraction form
    365,825/798,682 = 798,682/x
  3. Step 3: Cross multiply
    365,825x = 798,682 × 798,682
  4. Step 4: Simplify right side
    365,825x = 637,892,937,124
  5. Step 5: Solve for x
    x = 637,892,937,124/365,825
  6. Step 6: Final answer
    x = 1,743,710.62

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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.