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Finding the Third Proportional to 259,956 and 552,708

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Solution

The third proportional to 259,956 and 552,708 is: 1,175,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,956 : 552,708 = 552,708 : x
  2. Step 2: Convert to fraction form
    259,956/552,708 = 552,708/x
  3. Step 3: Cross multiply
    259,956x = 552,708 × 552,708
  4. Step 4: Simplify right side
    259,956x = 305,486,133,264
  5. Step 5: Solve for x
    x = 305,486,133,264/259,956
  6. Step 6: Final answer
    x = 1,175,145.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.