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Finding the Third Proportional to 206,534 and 451,948

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Solution

The third proportional to 206,534 and 451,948 is: 988,975.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,534 : 451,948 = 451,948 : x
  2. Step 2: Convert to fraction form
    206,534/451,948 = 451,948/x
  3. Step 3: Cross multiply
    206,534x = 451,948 × 451,948
  4. Step 4: Simplify right side
    206,534x = 204,256,994,704
  5. Step 5: Solve for x
    x = 204,256,994,704/206,534
  6. Step 6: Final answer
    x = 988,975.16

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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.