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Finding the Third Proportional to 207,504 and 454,080

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Solution

The third proportional to 207,504 and 454,080 is: 993,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,504 : 454,080 = 454,080 : x
  2. Step 2: Convert to fraction form
    207,504/454,080 = 454,080/x
  3. Step 3: Cross multiply
    207,504x = 454,080 × 454,080
  4. Step 4: Simplify right side
    207,504x = 206,188,646,400
  5. Step 5: Solve for x
    x = 206,188,646,400/207,504
  6. Step 6: Final answer
    x = 993,661.07

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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.