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Finding the Third Proportional to 259,186 and 405,708

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Solution

The third proportional to 259,186 and 405,708 is: 635,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,186 : 405,708 = 405,708 : x
  2. Step 2: Convert to fraction form
    259,186/405,708 = 405,708/x
  3. Step 3: Cross multiply
    259,186x = 405,708 × 405,708
  4. Step 4: Simplify right side
    259,186x = 164,598,981,264
  5. Step 5: Solve for x
    x = 164,598,981,264/259,186
  6. Step 6: Final answer
    x = 635,061.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.