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Finding the Third Proportional to 253,510 and 547,212

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Solution

The third proportional to 253,510 and 547,212 is: 1,181,180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,510 : 547,212 = 547,212 : x
  2. Step 2: Convert to fraction form
    253,510/547,212 = 547,212/x
  3. Step 3: Cross multiply
    253,510x = 547,212 × 547,212
  4. Step 4: Simplify right side
    253,510x = 299,440,972,944
  5. Step 5: Solve for x
    x = 299,440,972,944/253,510
  6. Step 6: Final answer
    x = 1,181,180.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.