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Finding the Third Proportional to 259,769 and 563,832

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Solution

The third proportional to 259,769 and 563,832 is: 1,223,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,769 : 563,832 = 563,832 : x
  2. Step 2: Convert to fraction form
    259,769/563,832 = 563,832/x
  3. Step 3: Cross multiply
    259,769x = 563,832 × 563,832
  4. Step 4: Simplify right side
    259,769x = 317,906,524,224
  5. Step 5: Solve for x
    x = 317,906,524,224/259,769
  6. Step 6: Final answer
    x = 1,223,804.70

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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.