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Finding the Third Proportional to 409,013 and 855,609.50

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Solution

The third proportional to 409,013 and 855,609.50 is: 1,789,839.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,013 : 855,609.50 = 855,609.50 : x
  2. Step 2: Convert to fraction form
    409,013/855,609.50 = 855,609.50/x
  3. Step 3: Cross multiply
    409,013x = 855,609.50 × 855,609.50
  4. Step 4: Simplify right side
    409,013x = 732,067,616,490.25
  5. Step 5: Solve for x
    x = 732,067,616,490.25/409,013
  6. Step 6: Final answer
    x = 1,789,839.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.