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Finding the Third Proportional to 190,083 and 441,991

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Solution

The third proportional to 190,083 and 441,991 is: 1,027,740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,083 : 441,991 = 441,991 : x
  2. Step 2: Convert to fraction form
    190,083/441,991 = 441,991/x
  3. Step 3: Cross multiply
    190,083x = 441,991 × 441,991
  4. Step 4: Simplify right side
    190,083x = 195,356,044,081
  5. Step 5: Solve for x
    x = 195,356,044,081/190,083
  6. Step 6: Final answer
    x = 1,027,740.75

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.