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Finding the Third Proportional to 258,543 and 548,388

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Solution

The third proportional to 258,543 and 548,388 is: 1,163,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,543 : 548,388 = 548,388 : x
  2. Step 2: Convert to fraction form
    258,543/548,388 = 548,388/x
  3. Step 3: Cross multiply
    258,543x = 548,388 × 548,388
  4. Step 4: Simplify right side
    258,543x = 300,729,398,544
  5. Step 5: Solve for x
    x = 300,729,398,544/258,543
  6. Step 6: Final answer
    x = 1,163,169.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.