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Finding the Third Proportional to 276,080 and 569,800

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Solution

The third proportional to 276,080 and 569,800 is: 1,176,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,080 : 569,800 = 569,800 : x
  2. Step 2: Convert to fraction form
    276,080/569,800 = 569,800/x
  3. Step 3: Cross multiply
    276,080x = 569,800 × 569,800
  4. Step 4: Simplify right side
    276,080x = 324,672,040,000
  5. Step 5: Solve for x
    x = 324,672,040,000/276,080
  6. Step 6: Final answer
    x = 1,176,007.10

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.