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Finding the Third Proportional to 251,252 and 546,792

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Solution

The third proportional to 251,252 and 546,792 is: 1,189,966.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,252 : 546,792 = 546,792 : x
  2. Step 2: Convert to fraction form
    251,252/546,792 = 546,792/x
  3. Step 3: Cross multiply
    251,252x = 546,792 × 546,792
  4. Step 4: Simplify right side
    251,252x = 298,981,491,264
  5. Step 5: Solve for x
    x = 298,981,491,264/251,252
  6. Step 6: Final answer
    x = 1,189,966.61

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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.