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Finding the Third Proportional to 274,072 and 610,427

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Solution

The third proportional to 274,072 and 610,427 is: 1,359,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,072 : 610,427 = 610,427 : x
  2. Step 2: Convert to fraction form
    274,072/610,427 = 610,427/x
  3. Step 3: Cross multiply
    274,072x = 610,427 × 610,427
  4. Step 4: Simplify right side
    274,072x = 372,621,122,329
  5. Step 5: Solve for x
    x = 372,621,122,329/274,072
  6. Step 6: Final answer
    x = 1,359,573.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.