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Finding the Third Proportional to 380,119.50 and 816,395

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Solution

The third proportional to 380,119.50 and 816,395 is: 1,753,398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,119.50 : 816,395 = 816,395 : x
  2. Step 2: Convert to fraction form
    380,119.50/816,395 = 816,395/x
  3. Step 3: Cross multiply
    380,119.50x = 816,395 × 816,395
  4. Step 4: Simplify right side
    380,119.50x = 666,500,796,025
  5. Step 5: Solve for x
    x = 666,500,796,025/380,119.50
  6. Step 6: Final answer
    x = 1,753,398.07

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.