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Finding the Third Proportional to 259,838 and 586,887

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Solution

The third proportional to 259,838 and 586,887 is: 1,325,581.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,838 : 586,887 = 586,887 : x
  2. Step 2: Convert to fraction form
    259,838/586,887 = 586,887/x
  3. Step 3: Cross multiply
    259,838x = 586,887 × 586,887
  4. Step 4: Simplify right side
    259,838x = 344,436,350,769
  5. Step 5: Solve for x
    x = 344,436,350,769/259,838
  6. Step 6: Final answer
    x = 1,325,581.13

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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.