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Finding the Third Proportional to 235,192 and 512,684

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Solution

The third proportional to 235,192 and 512,684 is: 1,117,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,192 : 512,684 = 512,684 : x
  2. Step 2: Convert to fraction form
    235,192/512,684 = 512,684/x
  3. Step 3: Cross multiply
    235,192x = 512,684 × 512,684
  4. Step 4: Simplify right side
    235,192x = 262,844,883,856
  5. Step 5: Solve for x
    x = 262,844,883,856/235,192
  6. Step 6: Final answer
    x = 1,117,575.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.