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Finding the Third Proportional to 274,236 and 414,276

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Solution

The third proportional to 274,236 and 414,276 is: 625,828.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,236 : 414,276 = 414,276 : x
  2. Step 2: Convert to fraction form
    274,236/414,276 = 414,276/x
  3. Step 3: Cross multiply
    274,236x = 414,276 × 414,276
  4. Step 4: Simplify right side
    274,236x = 171,624,604,176
  5. Step 5: Solve for x
    x = 171,624,604,176/274,236
  6. Step 6: Final answer
    x = 625,828.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.