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Finding the Third Proportional to 259,891 and 569,414

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Solution

The third proportional to 259,891 and 569,414 is: 1,247,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,891 : 569,414 = 569,414 : x
  2. Step 2: Convert to fraction form
    259,891/569,414 = 569,414/x
  3. Step 3: Cross multiply
    259,891x = 569,414 × 569,414
  4. Step 4: Simplify right side
    259,891x = 324,232,303,396
  5. Step 5: Solve for x
    x = 324,232,303,396/259,891
  6. Step 6: Final answer
    x = 1,247,570.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.