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Finding the Third Proportional to 259,596 and 563,256

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Solution

The third proportional to 259,596 and 563,256 is: 1,222,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,596 : 563,256 = 563,256 : x
  2. Step 2: Convert to fraction form
    259,596/563,256 = 563,256/x
  3. Step 3: Cross multiply
    259,596x = 563,256 × 563,256
  4. Step 4: Simplify right side
    259,596x = 317,257,321,536
  5. Step 5: Solve for x
    x = 317,257,321,536/259,596
  6. Step 6: Final answer
    x = 1,222,119.45

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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.