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Finding the Third Proportional to 259,788 and 558,396

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Solution

The third proportional to 259,788 and 558,396 is: 1,200,232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,788 : 558,396 = 558,396 : x
  2. Step 2: Convert to fraction form
    259,788/558,396 = 558,396/x
  3. Step 3: Cross multiply
    259,788x = 558,396 × 558,396
  4. Step 4: Simplify right side
    259,788x = 311,806,092,816
  5. Step 5: Solve for x
    x = 311,806,092,816/259,788
  6. Step 6: Final answer
    x = 1,200,232.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.