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Finding the Third Proportional to 259,219 and 539,136

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Solution

The third proportional to 259,219 and 539,136 is: 1,121,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,219 : 539,136 = 539,136 : x
  2. Step 2: Convert to fraction form
    259,219/539,136 = 539,136/x
  3. Step 3: Cross multiply
    259,219x = 539,136 × 539,136
  4. Step 4: Simplify right side
    259,219x = 290,667,626,496
  5. Step 5: Solve for x
    x = 290,667,626,496/259,219
  6. Step 6: Final answer
    x = 1,121,320.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.