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Finding the Third Proportional to 258,542 and 539,224

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Solution

The third proportional to 258,542 and 539,224 is: 1,124,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,542 : 539,224 = 539,224 : x
  2. Step 2: Convert to fraction form
    258,542/539,224 = 539,224/x
  3. Step 3: Cross multiply
    258,542x = 539,224 × 539,224
  4. Step 4: Simplify right side
    258,542x = 290,762,522,176
  5. Step 5: Solve for x
    x = 290,762,522,176/258,542
  6. Step 6: Final answer
    x = 1,124,623.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.