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Finding the Third Proportional to 173,790 and 380,799

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Solution

The third proportional to 173,790 and 380,799 is: 834,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,790 : 380,799 = 380,799 : x
  2. Step 2: Convert to fraction form
    173,790/380,799 = 380,799/x
  3. Step 3: Cross multiply
    173,790x = 380,799 × 380,799
  4. Step 4: Simplify right side
    173,790x = 145,007,878,401
  5. Step 5: Solve for x
    x = 145,007,878,401/173,790
  6. Step 6: Final answer
    x = 834,385.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.