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Finding the Third Proportional to 253,853 and 551,472

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Solution

The third proportional to 253,853 and 551,472 is: 1,198,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,853 : 551,472 = 551,472 : x
  2. Step 2: Convert to fraction form
    253,853/551,472 = 551,472/x
  3. Step 3: Cross multiply
    253,853x = 551,472 × 551,472
  4. Step 4: Simplify right side
    253,853x = 304,121,366,784
  5. Step 5: Solve for x
    x = 304,121,366,784/253,853
  6. Step 6: Final answer
    x = 1,198,021.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.