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Finding the Third Proportional to 259,872 and 586,956

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Solution

The third proportional to 259,872 and 586,956 is: 1,325,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,872 : 586,956 = 586,956 : x
  2. Step 2: Convert to fraction form
    259,872/586,956 = 586,956/x
  3. Step 3: Cross multiply
    259,872x = 586,956 × 586,956
  4. Step 4: Simplify right side
    259,872x = 344,517,345,936
  5. Step 5: Solve for x
    x = 344,517,345,936/259,872
  6. Step 6: Final answer
    x = 1,325,719.38

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.