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Finding the Third Proportional to 384,220 and 617,334

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Solution

The third proportional to 384,220 and 617,334 is: 991,882.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,220 : 617,334 = 617,334 : x
  2. Step 2: Convert to fraction form
    384,220/617,334 = 617,334/x
  3. Step 3: Cross multiply
    384,220x = 617,334 × 617,334
  4. Step 4: Simplify right side
    384,220x = 381,101,267,556
  5. Step 5: Solve for x
    x = 381,101,267,556/384,220
  6. Step 6: Final answer
    x = 991,882.95

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.