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Finding the Third Proportional to 274,230 and 414,261

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Solution

The third proportional to 274,230 and 414,261 is: 625,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,230 : 414,261 = 414,261 : x
  2. Step 2: Convert to fraction form
    274,230/414,261 = 414,261/x
  3. Step 3: Cross multiply
    274,230x = 414,261 × 414,261
  4. Step 4: Simplify right side
    274,230x = 171,612,176,121
  5. Step 5: Solve for x
    x = 171,612,176,121/274,230
  6. Step 6: Final answer
    x = 625,796.51

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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.