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Finding the Third Proportional to 258,966 and 535,914

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Solution

The third proportional to 258,966 and 535,914 is: 1,109,040.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,966 : 535,914 = 535,914 : x
  2. Step 2: Convert to fraction form
    258,966/535,914 = 535,914/x
  3. Step 3: Cross multiply
    258,966x = 535,914 × 535,914
  4. Step 4: Simplify right side
    258,966x = 287,203,815,396
  5. Step 5: Solve for x
    x = 287,203,815,396/258,966
  6. Step 6: Final answer
    x = 1,109,040.63

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.