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Finding the Third Proportional to 274,284 and 599,832

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Solution

The third proportional to 274,284 and 599,832 is: 1,311,773.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,284 : 599,832 = 599,832 : x
  2. Step 2: Convert to fraction form
    274,284/599,832 = 599,832/x
  3. Step 3: Cross multiply
    274,284x = 599,832 × 599,832
  4. Step 4: Simplify right side
    274,284x = 359,798,428,224
  5. Step 5: Solve for x
    x = 359,798,428,224/274,284
  6. Step 6: Final answer
    x = 1,311,773.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.