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Finding the Third Proportional to 274,260 and 414,314

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Solution

The third proportional to 274,260 and 414,314 is: 625,888.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,260 : 414,314 = 414,314 : x
  2. Step 2: Convert to fraction form
    274,260/414,314 = 414,314/x
  3. Step 3: Cross multiply
    274,260x = 414,314 × 414,314
  4. Step 4: Simplify right side
    274,260x = 171,656,090,596
  5. Step 5: Solve for x
    x = 171,656,090,596/274,260
  6. Step 6: Final answer
    x = 625,888.17

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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.