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Finding the Third Proportional to 366,970 and 548,744

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Solution

The third proportional to 366,970 and 548,744 is: 820,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,970 : 548,744 = 548,744 : x
  2. Step 2: Convert to fraction form
    366,970/548,744 = 548,744/x
  3. Step 3: Cross multiply
    366,970x = 548,744 × 548,744
  4. Step 4: Simplify right side
    366,970x = 301,119,977,536
  5. Step 5: Solve for x
    x = 301,119,977,536/366,970
  6. Step 6: Final answer
    x = 820,557.48

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Why These Related Problems?

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