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Finding the Third Proportional to 285,163 and 617,373

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Solution

The third proportional to 285,163 and 617,373 is: 1,336,601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,163 : 617,373 = 617,373 : x
  2. Step 2: Convert to fraction form
    285,163/617,373 = 617,373/x
  3. Step 3: Cross multiply
    285,163x = 617,373 × 617,373
  4. Step 4: Simplify right side
    285,163x = 381,149,421,129
  5. Step 5: Solve for x
    x = 381,149,421,129/285,163
  6. Step 6: Final answer
    x = 1,336,601.95

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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.