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Finding the Third Proportional to 259,566 and 563,193

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Solution

The third proportional to 259,566 and 563,193 is: 1,221,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,566 : 563,193 = 563,193 : x
  2. Step 2: Convert to fraction form
    259,566/563,193 = 563,193/x
  3. Step 3: Cross multiply
    259,566x = 563,193 × 563,193
  4. Step 4: Simplify right side
    259,566x = 317,186,355,249
  5. Step 5: Solve for x
    x = 317,186,355,249/259,566
  6. Step 6: Final answer
    x = 1,221,987.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.