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Finding the Third Proportional to 276,376 and 580,592

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Solution

The third proportional to 276,376 and 580,592 is: 1,219,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,376 : 580,592 = 580,592 : x
  2. Step 2: Convert to fraction form
    276,376/580,592 = 580,592/x
  3. Step 3: Cross multiply
    276,376x = 580,592 × 580,592
  4. Step 4: Simplify right side
    276,376x = 337,087,070,464
  5. Step 5: Solve for x
    x = 337,087,070,464/276,376
  6. Step 6: Final answer
    x = 1,219,668.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.