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Finding the Third Proportional to 276,015 and 562,179

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Solution

The third proportional to 276,015 and 562,179 is: 1,145,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,015 : 562,179 = 562,179 : x
  2. Step 2: Convert to fraction form
    276,015/562,179 = 562,179/x
  3. Step 3: Cross multiply
    276,015x = 562,179 × 562,179
  4. Step 4: Simplify right side
    276,015x = 316,045,228,041
  5. Step 5: Solve for x
    x = 316,045,228,041/276,015
  6. Step 6: Final answer
    x = 1,145,029.18

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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.