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Finding the Third Proportional to 259,947 and 558,573

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Solution

The third proportional to 259,947 and 558,573 is: 1,200,259.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,947 : 558,573 = 558,573 : x
  2. Step 2: Convert to fraction form
    259,947/558,573 = 558,573/x
  3. Step 3: Cross multiply
    259,947x = 558,573 × 558,573
  4. Step 4: Simplify right side
    259,947x = 312,003,796,329
  5. Step 5: Solve for x
    x = 312,003,796,329/259,947
  6. Step 6: Final answer
    x = 1,200,259.27

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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.