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Finding the Third Proportional to 274,414 and 601,298

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Solution

The third proportional to 274,414 and 601,298 is: 1,317,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,414 : 601,298 = 601,298 : x
  2. Step 2: Convert to fraction form
    274,414/601,298 = 601,298/x
  3. Step 3: Cross multiply
    274,414x = 601,298 × 601,298
  4. Step 4: Simplify right side
    274,414x = 361,559,284,804
  5. Step 5: Solve for x
    x = 361,559,284,804/274,414
  6. Step 6: Final answer
    x = 1,317,568.65

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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.