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Finding the Third Proportional to 259,868 and 586,946

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Solution

The third proportional to 259,868 and 586,946 is: 1,325,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,868 : 586,946 = 586,946 : x
  2. Step 2: Convert to fraction form
    259,868/586,946 = 586,946/x
  3. Step 3: Cross multiply
    259,868x = 586,946 × 586,946
  4. Step 4: Simplify right side
    259,868x = 344,505,606,916
  5. Step 5: Solve for x
    x = 344,505,606,916/259,868
  6. Step 6: Final answer
    x = 1,325,694.61

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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.