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Finding the Third Proportional to 283,551.75 and 619,105.50

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Solution

The third proportional to 283,551.75 and 619,105.50 is: 1,351,751.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,551.75 : 619,105.50 = 619,105.50 : x
  2. Step 2: Convert to fraction form
    283,551.75/619,105.50 = 619,105.50/x
  3. Step 3: Cross multiply
    283,551.75x = 619,105.50 × 619,105.50
  4. Step 4: Simplify right side
    283,551.75x = 383,291,620,130.25
  5. Step 5: Solve for x
    x = 383,291,620,130.25/283,551.75
  6. Step 6: Final answer
    x = 1,351,751.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.