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Finding the Third Proportional to 428,404.50 and 930,557.25

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Solution

The third proportional to 428,404.50 and 930,557.25 is: 2,021,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,404.50 : 930,557.25 = 930,557.25 : x
  2. Step 2: Convert to fraction form
    428,404.50/930,557.25 = 930,557.25/x
  3. Step 3: Cross multiply
    428,404.50x = 930,557.25 × 930,557.25
  4. Step 4: Simplify right side
    428,404.50x = 865,936,795,527.56
  5. Step 5: Solve for x
    x = 865,936,795,527.56/428,404.50
  6. Step 6: Final answer
    x = 2,021,306.49

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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.