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Finding the Third Proportional to 276,924 and 606,256

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Solution

The third proportional to 276,924 and 606,256 is: 1,327,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,924 : 606,256 = 606,256 : x
  2. Step 2: Convert to fraction form
    276,924/606,256 = 606,256/x
  3. Step 3: Cross multiply
    276,924x = 606,256 × 606,256
  4. Step 4: Simplify right side
    276,924x = 367,546,337,536
  5. Step 5: Solve for x
    x = 367,546,337,536/276,924
  6. Step 6: Final answer
    x = 1,327,246.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.