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Finding the Third Proportional to 244,642 and 535,908

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Solution

The third proportional to 244,642 and 535,908 is: 1,173,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,642 : 535,908 = 535,908 : x
  2. Step 2: Convert to fraction form
    244,642/535,908 = 535,908/x
  3. Step 3: Cross multiply
    244,642x = 535,908 × 535,908
  4. Step 4: Simplify right side
    244,642x = 287,197,384,464
  5. Step 5: Solve for x
    x = 287,197,384,464/244,642
  6. Step 6: Final answer
    x = 1,173,949.63

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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.