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Finding the Third Proportional to 207,624 and 454,016

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Solution

The third proportional to 207,624 and 454,016 is: 992,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,624 : 454,016 = 454,016 : x
  2. Step 2: Convert to fraction form
    207,624/454,016 = 454,016/x
  3. Step 3: Cross multiply
    207,624x = 454,016 × 454,016
  4. Step 4: Simplify right side
    207,624x = 206,130,528,256
  5. Step 5: Solve for x
    x = 206,130,528,256/207,624
  6. Step 6: Final answer
    x = 992,806.84

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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.