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Finding the Third Proportional to 246,716 and 512,824

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Solution

The third proportional to 246,716 and 512,824 is: 1,065,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,716 : 512,824 = 512,824 : x
  2. Step 2: Convert to fraction form
    246,716/512,824 = 512,824/x
  3. Step 3: Cross multiply
    246,716x = 512,824 × 512,824
  4. Step 4: Simplify right side
    246,716x = 262,988,454,976
  5. Step 5: Solve for x
    x = 262,988,454,976/246,716
  6. Step 6: Final answer
    x = 1,065,956.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.