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Finding the Third Proportional to 190,489 and 416,395

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Solution

The third proportional to 190,489 and 416,395 is: 910,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,489 : 416,395 = 416,395 : x
  2. Step 2: Convert to fraction form
    190,489/416,395 = 416,395/x
  3. Step 3: Cross multiply
    190,489x = 416,395 × 416,395
  4. Step 4: Simplify right side
    190,489x = 173,384,796,025
  5. Step 5: Solve for x
    x = 173,384,796,025/190,489
  6. Step 6: Final answer
    x = 910,208.97

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Why These Related Problems?

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