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Finding the Third Proportional to 368,367 and 550,278

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Solution

The third proportional to 368,367 and 550,278 is: 822,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,367 : 550,278 = 550,278 : x
  2. Step 2: Convert to fraction form
    368,367/550,278 = 550,278/x
  3. Step 3: Cross multiply
    368,367x = 550,278 × 550,278
  4. Step 4: Simplify right side
    368,367x = 302,805,877,284
  5. Step 5: Solve for x
    x = 302,805,877,284/368,367
  6. Step 6: Final answer
    x = 822,022.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.