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Finding the Third Proportional to 269,736 and 590,267

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Solution

The third proportional to 269,736 and 590,267 is: 1,291,689.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,736 : 590,267 = 590,267 : x
  2. Step 2: Convert to fraction form
    269,736/590,267 = 590,267/x
  3. Step 3: Cross multiply
    269,736x = 590,267 × 590,267
  4. Step 4: Simplify right side
    269,736x = 348,415,131,289
  5. Step 5: Solve for x
    x = 348,415,131,289/269,736
  6. Step 6: Final answer
    x = 1,291,689.40

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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.