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Finding the Third Proportional to 207,252 and 453,963

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Solution

The third proportional to 207,252 and 453,963 is: 994,356.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,252 : 453,963 = 453,963 : x
  2. Step 2: Convert to fraction form
    207,252/453,963 = 453,963/x
  3. Step 3: Cross multiply
    207,252x = 453,963 × 453,963
  4. Step 4: Simplify right side
    207,252x = 206,082,405,369
  5. Step 5: Solve for x
    x = 206,082,405,369/207,252
  6. Step 6: Final answer
    x = 994,356.65

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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.