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Finding the Third Proportional to 269,011 and 590,266

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Solution

The third proportional to 269,011 and 590,266 is: 1,295,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,011 : 590,266 = 590,266 : x
  2. Step 2: Convert to fraction form
    269,011/590,266 = 590,266/x
  3. Step 3: Cross multiply
    269,011x = 590,266 × 590,266
  4. Step 4: Simplify right side
    269,011x = 348,413,950,756
  5. Step 5: Solve for x
    x = 348,413,950,756/269,011
  6. Step 6: Final answer
    x = 1,295,166.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.