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Finding the Third Proportional to 276,444 and 580,716

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Solution

The third proportional to 276,444 and 580,716 is: 1,219,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,444 : 580,716 = 580,716 : x
  2. Step 2: Convert to fraction form
    276,444/580,716 = 580,716/x
  3. Step 3: Cross multiply
    276,444x = 580,716 × 580,716
  4. Step 4: Simplify right side
    276,444x = 337,231,072,656
  5. Step 5: Solve for x
    x = 337,231,072,656/276,444
  6. Step 6: Final answer
    x = 1,219,889.28

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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.