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Finding the Third Proportional to 388,219.50 and 830,408.25

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Solution

The third proportional to 388,219.50 and 830,408.25 is: 1,776,257.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,219.50 : 830,408.25 = 830,408.25 : x
  2. Step 2: Convert to fraction form
    388,219.50/830,408.25 = 830,408.25/x
  3. Step 3: Cross multiply
    388,219.50x = 830,408.25 × 830,408.25
  4. Step 4: Simplify right side
    388,219.50x = 689,577,861,668.06
  5. Step 5: Solve for x
    x = 689,577,861,668.06/388,219.50
  6. Step 6: Final answer
    x = 1,776,257.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.