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Finding the Third Proportional to 451,473.75 and 619,083

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Solution

The third proportional to 451,473.75 and 619,083 is: 848,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,473.75 : 619,083 = 619,083 : x
  2. Step 2: Convert to fraction form
    451,473.75/619,083 = 619,083/x
  3. Step 3: Cross multiply
    451,473.75x = 619,083 × 619,083
  4. Step 4: Simplify right side
    451,473.75x = 383,263,760,889
  5. Step 5: Solve for x
    x = 383,263,760,889/451,473.75
  6. Step 6: Final answer
    x = 848,917.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.