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Finding the Third Proportional to 269,684 and 591,208

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Solution

The third proportional to 269,684 and 591,208 is: 1,296,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,684 : 591,208 = 591,208 : x
  2. Step 2: Convert to fraction form
    269,684/591,208 = 591,208/x
  3. Step 3: Cross multiply
    269,684x = 591,208 × 591,208
  4. Step 4: Simplify right side
    269,684x = 349,526,899,264
  5. Step 5: Solve for x
    x = 349,526,899,264/269,684
  6. Step 6: Final answer
    x = 1,296,060.94

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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.