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Finding the Third Proportional to 387,218 and 833,766

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Solution

The third proportional to 387,218 and 833,766 is: 1,795,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,218 : 833,766 = 833,766 : x
  2. Step 2: Convert to fraction form
    387,218/833,766 = 833,766/x
  3. Step 3: Cross multiply
    387,218x = 833,766 × 833,766
  4. Step 4: Simplify right side
    387,218x = 695,165,742,756
  5. Step 5: Solve for x
    x = 695,165,742,756/387,218
  6. Step 6: Final answer
    x = 1,795,282.61

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