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Finding the Third Proportional to 272,248 and 576,824

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Solution

The third proportional to 272,248 and 576,824 is: 1,222,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,248 : 576,824 = 576,824 : x
  2. Step 2: Convert to fraction form
    272,248/576,824 = 576,824/x
  3. Step 3: Cross multiply
    272,248x = 576,824 × 576,824
  4. Step 4: Simplify right side
    272,248x = 332,725,926,976
  5. Step 5: Solve for x
    x = 332,725,926,976/272,248
  6. Step 6: Final answer
    x = 1,222,142.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.