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Finding the Third Proportional to 376,299 and 804,114

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Solution

The third proportional to 376,299 and 804,114 is: 1,718,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,299 : 804,114 = 804,114 : x
  2. Step 2: Convert to fraction form
    376,299/804,114 = 804,114/x
  3. Step 3: Cross multiply
    376,299x = 804,114 × 804,114
  4. Step 4: Simplify right side
    376,299x = 646,599,324,996
  5. Step 5: Solve for x
    x = 646,599,324,996/376,299
  6. Step 6: Final answer
    x = 1,718,312.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.