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Finding the Third Proportional to 275,414 and 601,370

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Solution

The third proportional to 275,414 and 601,370 is: 1,313,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,414 : 601,370 = 601,370 : x
  2. Step 2: Convert to fraction form
    275,414/601,370 = 601,370/x
  3. Step 3: Cross multiply
    275,414x = 601,370 × 601,370
  4. Step 4: Simplify right side
    275,414x = 361,645,876,900
  5. Step 5: Solve for x
    x = 361,645,876,900/275,414
  6. Step 6: Final answer
    x = 1,313,099.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.