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Finding the Third Proportional to 274,134 and 411,201

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Solution

The third proportional to 274,134 and 411,201 is: 616,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,134 : 411,201 = 411,201 : x
  2. Step 2: Convert to fraction form
    274,134/411,201 = 411,201/x
  3. Step 3: Cross multiply
    274,134x = 411,201 × 411,201
  4. Step 4: Simplify right side
    274,134x = 169,086,262,401
  5. Step 5: Solve for x
    x = 169,086,262,401/274,134
  6. Step 6: Final answer
    x = 616,801.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.