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Finding the Third Proportional to 269,353.40 and 401,694.66

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Solution

The third proportional to 269,353.40 and 401,694.66 is: 599,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,353.40 : 401,694.66 = 401,694.66 : x
  2. Step 2: Convert to fraction form
    269,353.40/401,694.66 = 401,694.66/x
  3. Step 3: Cross multiply
    269,353.40x = 401,694.66 × 401,694.66
  4. Step 4: Simplify right side
    269,353.40x = 161,358,601,567.17
  5. Step 5: Solve for x
    x = 161,358,601,567.17/269,353.40
  6. Step 6: Final answer
    x = 599,059.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.