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Finding the Third Proportional to 363,106 and 797,888

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Solution

The third proportional to 363,106 and 797,888 is: 1,753,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,106 : 797,888 = 797,888 : x
  2. Step 2: Convert to fraction form
    363,106/797,888 = 797,888/x
  3. Step 3: Cross multiply
    363,106x = 797,888 × 797,888
  4. Step 4: Simplify right side
    363,106x = 636,625,260,544
  5. Step 5: Solve for x
    x = 636,625,260,544/363,106
  6. Step 6: Final answer
    x = 1,753,276.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.