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Finding the Third Proportional to 548,200.41 and 847,227.09

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Solution

The third proportional to 548,200.41 and 847,227.09 is: 1,309,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,200.41 : 847,227.09 = 847,227.09 : x
  2. Step 2: Convert to fraction form
    548,200.41/847,227.09 = 847,227.09/x
  3. Step 3: Cross multiply
    548,200.41x = 847,227.09 × 847,227.09
  4. Step 4: Simplify right side
    548,200.41x = 717,793,748,384.07
  5. Step 5: Solve for x
    x = 717,793,748,384.07/548,200.41
  6. Step 6: Final answer
    x = 1,309,363.77

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Why These Related Problems?

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