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Finding the Third Proportional to 379,760 and 896,463

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Solution

The third proportional to 379,760 and 896,463 is: 2,116,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,760 : 896,463 = 896,463 : x
  2. Step 2: Convert to fraction form
    379,760/896,463 = 896,463/x
  3. Step 3: Cross multiply
    379,760x = 896,463 × 896,463
  4. Step 4: Simplify right side
    379,760x = 803,645,910,369
  5. Step 5: Solve for x
    x = 803,645,910,369/379,760
  6. Step 6: Final answer
    x = 2,116,194.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.