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Finding the Third Proportional to 548,400 and 847,493.25

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Solution

The third proportional to 548,400 and 847,493.25 is: 1,309,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,400 : 847,493.25 = 847,493.25 : x
  2. Step 2: Convert to fraction form
    548,400/847,493.25 = 847,493.25/x
  3. Step 3: Cross multiply
    548,400x = 847,493.25 × 847,493.25
  4. Step 4: Simplify right side
    548,400x = 718,244,808,795.56
  5. Step 5: Solve for x
    x = 718,244,808,795.56/548,400
  6. Step 6: Final answer
    x = 1,309,709.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.