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Finding the Third Proportional to 207,453 and 452,605

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Solution

The third proportional to 207,453 and 452,605 is: 987,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,453 : 452,605 = 452,605 : x
  2. Step 2: Convert to fraction form
    207,453/452,605 = 452,605/x
  3. Step 3: Cross multiply
    207,453x = 452,605 × 452,605
  4. Step 4: Simplify right side
    207,453x = 204,851,286,025
  5. Step 5: Solve for x
    x = 204,851,286,025/207,453
  6. Step 6: Final answer
    x = 987,458.78

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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.