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Finding the Third Proportional to 259,275 and 562,812

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Solution

The third proportional to 259,275 and 562,812 is: 1,221,704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,275 : 562,812 = 562,812 : x
  2. Step 2: Convert to fraction form
    259,275/562,812 = 562,812/x
  3. Step 3: Cross multiply
    259,275x = 562,812 × 562,812
  4. Step 4: Simplify right side
    259,275x = 316,757,347,344
  5. Step 5: Solve for x
    x = 316,757,347,344/259,275
  6. Step 6: Final answer
    x = 1,221,704.16

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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.