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Finding the Third Proportional to 259,529 and 563,122

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Solution

The third proportional to 259,529 and 563,122 is: 1,221,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,529 : 563,122 = 563,122 : x
  2. Step 2: Convert to fraction form
    259,529/563,122 = 563,122/x
  3. Step 3: Cross multiply
    259,529x = 563,122 × 563,122
  4. Step 4: Simplify right side
    259,529x = 317,106,386,884
  5. Step 5: Solve for x
    x = 317,106,386,884/259,529
  6. Step 6: Final answer
    x = 1,221,853.38

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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.