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Finding the Third Proportional to 420,138.50 and 628,740.75

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Solution

The third proportional to 420,138.50 and 628,740.75 is: 940,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,138.50 : 628,740.75 = 628,740.75 : x
  2. Step 2: Convert to fraction form
    420,138.50/628,740.75 = 628,740.75/x
  3. Step 3: Cross multiply
    420,138.50x = 628,740.75 × 628,740.75
  4. Step 4: Simplify right side
    420,138.50x = 395,314,930,710.56
  5. Step 5: Solve for x
    x = 395,314,930,710.56/420,138.50
  6. Step 6: Final answer
    x = 940,915.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.