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Finding the Third Proportional to 366,965 and 548,736

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Solution

The third proportional to 366,965 and 548,736 is: 820,544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,965 : 548,736 = 548,736 : x
  2. Step 2: Convert to fraction form
    366,965/548,736 = 548,736/x
  3. Step 3: Cross multiply
    366,965x = 548,736 × 548,736
  4. Step 4: Simplify right side
    366,965x = 301,111,197,696
  5. Step 5: Solve for x
    x = 301,111,197,696/366,965
  6. Step 6: Final answer
    x = 820,544.73

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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.