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Finding the Third Proportional to 190,063 and 412,982

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Solution

The third proportional to 190,063 and 412,982 is: 897,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,063 : 412,982 = 412,982 : x
  2. Step 2: Convert to fraction form
    190,063/412,982 = 412,982/x
  3. Step 3: Cross multiply
    190,063x = 412,982 × 412,982
  4. Step 4: Simplify right side
    190,063x = 170,554,132,324
  5. Step 5: Solve for x
    x = 170,554,132,324/190,063
  6. Step 6: Final answer
    x = 897,355.78

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.