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Finding the Third Proportional to 258,801 and 563,163

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Solution

The third proportional to 258,801 and 563,163 is: 1,225,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,801 : 563,163 = 563,163 : x
  2. Step 2: Convert to fraction form
    258,801/563,163 = 563,163/x
  3. Step 3: Cross multiply
    258,801x = 563,163 × 563,163
  4. Step 4: Simplify right side
    258,801x = 317,152,564,569
  5. Step 5: Solve for x
    x = 317,152,564,569/258,801
  6. Step 6: Final answer
    x = 1,225,468.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.