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Finding the Third Proportional to 401,299 and 835,812

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Solution

The third proportional to 401,299 and 835,812 is: 1,740,801.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,299 : 835,812 = 835,812 : x
  2. Step 2: Convert to fraction form
    401,299/835,812 = 835,812/x
  3. Step 3: Cross multiply
    401,299x = 835,812 × 835,812
  4. Step 4: Simplify right side
    401,299x = 698,581,699,344
  5. Step 5: Solve for x
    x = 698,581,699,344/401,299
  6. Step 6: Final answer
    x = 1,740,801.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.