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Finding the Third Proportional to 274,481 and 587,014

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Solution

The third proportional to 274,481 and 587,014 is: 1,255,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,481 : 587,014 = 587,014 : x
  2. Step 2: Convert to fraction form
    274,481/587,014 = 587,014/x
  3. Step 3: Cross multiply
    274,481x = 587,014 × 587,014
  4. Step 4: Simplify right side
    274,481x = 344,585,436,196
  5. Step 5: Solve for x
    x = 344,585,436,196/274,481
  6. Step 6: Final answer
    x = 1,255,407.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.