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Finding the Third Proportional to 259,840 and 586,892

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Solution

The third proportional to 259,840 and 586,892 is: 1,325,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,840 : 586,892 = 586,892 : x
  2. Step 2: Convert to fraction form
    259,840/586,892 = 586,892/x
  3. Step 3: Cross multiply
    259,840x = 586,892 × 586,892
  4. Step 4: Simplify right side
    259,840x = 344,442,219,664
  5. Step 5: Solve for x
    x = 344,442,219,664/259,840
  6. Step 6: Final answer
    x = 1,325,593.52

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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.