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Finding the Third Proportional to 274,487 and 587,026

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Solution

The third proportional to 274,487 and 587,026 is: 1,255,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,487 : 587,026 = 587,026 : x
  2. Step 2: Convert to fraction form
    274,487/587,026 = 587,026/x
  3. Step 3: Cross multiply
    274,487x = 587,026 × 587,026
  4. Step 4: Simplify right side
    274,487x = 344,599,524,676
  5. Step 5: Solve for x
    x = 344,599,524,676/274,487
  6. Step 6: Final answer
    x = 1,255,431.13

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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.