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Finding the Third Proportional to 382,610.25 and 835,161.75

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Solution

The third proportional to 382,610.25 and 835,161.75 is: 1,822,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,610.25 : 835,161.75 = 835,161.75 : x
  2. Step 2: Convert to fraction form
    382,610.25/835,161.75 = 835,161.75/x
  3. Step 3: Cross multiply
    382,610.25x = 835,161.75 × 835,161.75
  4. Step 4: Simplify right side
    382,610.25x = 697,495,148,663.06
  5. Step 5: Solve for x
    x = 697,495,148,663.06/382,610.25
  6. Step 6: Final answer
    x = 1,822,991.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.