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Finding the Third Proportional to 274,214 and 414,237

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Solution

The third proportional to 274,214 and 414,237 is: 625,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,214 : 414,237 = 414,237 : x
  2. Step 2: Convert to fraction form
    274,214/414,237 = 414,237/x
  3. Step 3: Cross multiply
    274,214x = 414,237 × 414,237
  4. Step 4: Simplify right side
    274,214x = 171,592,292,169
  5. Step 5: Solve for x
    x = 171,592,292,169/274,214
  6. Step 6: Final answer
    x = 625,760.51

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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.