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Finding the Third Proportional to 366,203 and 548,943

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Solution

The third proportional to 366,203 and 548,943 is: 822,872.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,203 : 548,943 = 548,943 : x
  2. Step 2: Convert to fraction form
    366,203/548,943 = 548,943/x
  3. Step 3: Cross multiply
    366,203x = 548,943 × 548,943
  4. Step 4: Simplify right side
    366,203x = 301,338,417,249
  5. Step 5: Solve for x
    x = 301,338,417,249/366,203
  6. Step 6: Final answer
    x = 822,872.61

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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.