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Finding the Third Proportional to 207,252 and 453,924

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Solution

The third proportional to 207,252 and 453,924 is: 994,185.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,252 : 453,924 = 453,924 : x
  2. Step 2: Convert to fraction form
    207,252/453,924 = 453,924/x
  3. Step 3: Cross multiply
    207,252x = 453,924 × 453,924
  4. Step 4: Simplify right side
    207,252x = 206,046,997,776
  5. Step 5: Solve for x
    x = 206,046,997,776/207,252
  6. Step 6: Final answer
    x = 994,185.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.