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Finding the Third Proportional to 207,751 and 446,534

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Solution

The third proportional to 207,751 and 446,534 is: 959,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,751 : 446,534 = 446,534 : x
  2. Step 2: Convert to fraction form
    207,751/446,534 = 446,534/x
  3. Step 3: Cross multiply
    207,751x = 446,534 × 446,534
  4. Step 4: Simplify right side
    207,751x = 199,392,613,156
  5. Step 5: Solve for x
    x = 199,392,613,156/207,751
  6. Step 6: Final answer
    x = 959,767.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.