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Finding the Third Proportional to 401,025.38 and 835,223.63

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Solution

The third proportional to 401,025.38 and 835,223.63 is: 1,739,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,025.38 : 835,223.63 = 835,223.63 : x
  2. Step 2: Convert to fraction form
    401,025.38/835,223.63 = 835,223.63/x
  3. Step 3: Cross multiply
    401,025.38x = 835,223.63 × 835,223.63
  4. Step 4: Simplify right side
    401,025.38x = 697,598,503,758.14
  5. Step 5: Solve for x
    x = 697,598,503,758.14/401,025.38
  6. Step 6: Final answer
    x = 1,739,537.06

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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.