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Finding the Third Proportional to 379,750 and 896,438

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Solution

The third proportional to 379,750 and 896,438 is: 2,116,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,750 : 896,438 = 896,438 : x
  2. Step 2: Convert to fraction form
    379,750/896,438 = 896,438/x
  3. Step 3: Cross multiply
    379,750x = 896,438 × 896,438
  4. Step 4: Simplify right side
    379,750x = 803,601,087,844
  5. Step 5: Solve for x
    x = 803,601,087,844/379,750
  6. Step 6: Final answer
    x = 2,116,131.90

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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.