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Finding the Third Proportional to 258,834 and 558,516

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Solution

The third proportional to 258,834 and 558,516 is: 1,205,174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,834 : 558,516 = 558,516 : x
  2. Step 2: Convert to fraction form
    258,834/558,516 = 558,516/x
  3. Step 3: Cross multiply
    258,834x = 558,516 × 558,516
  4. Step 4: Simplify right side
    258,834x = 311,940,122,256
  5. Step 5: Solve for x
    x = 311,940,122,256/258,834
  6. Step 6: Final answer
    x = 1,205,174.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.