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Finding the Third Proportional to 401,033 and 835,238

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Solution

The third proportional to 401,033 and 835,238 is: 1,739,563.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,033 : 835,238 = 835,238 : x
  2. Step 2: Convert to fraction form
    401,033/835,238 = 835,238/x
  3. Step 3: Cross multiply
    401,033x = 835,238 × 835,238
  4. Step 4: Simplify right side
    401,033x = 697,622,516,644
  5. Step 5: Solve for x
    x = 697,622,516,644/401,033
  6. Step 6: Final answer
    x = 1,739,563.87

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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.