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Finding the Third Proportional to 276,013 and 562,175

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Solution

The third proportional to 276,013 and 562,175 is: 1,145,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,013 : 562,175 = 562,175 : x
  2. Step 2: Convert to fraction form
    276,013/562,175 = 562,175/x
  3. Step 3: Cross multiply
    276,013x = 562,175 × 562,175
  4. Step 4: Simplify right side
    276,013x = 316,040,730,625
  5. Step 5: Solve for x
    x = 316,040,730,625/276,013
  6. Step 6: Final answer
    x = 1,145,021.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.