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Finding the Third Proportional to 276,011 and 562,171

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Solution

The third proportional to 276,011 and 562,171 is: 1,145,013.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,011 : 562,171 = 562,171 : x
  2. Step 2: Convert to fraction form
    276,011/562,171 = 562,171/x
  3. Step 3: Cross multiply
    276,011x = 562,171 × 562,171
  4. Step 4: Simplify right side
    276,011x = 316,036,233,241
  5. Step 5: Solve for x
    x = 316,036,233,241/276,011
  6. Step 6: Final answer
    x = 1,145,013.18

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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.