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Finding the Third Proportional to 207,691 and 446,971

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Solution

The third proportional to 207,691 and 446,971 is: 961,924.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,691 : 446,971 = 446,971 : x
  2. Step 2: Convert to fraction form
    207,691/446,971 = 446,971/x
  3. Step 3: Cross multiply
    207,691x = 446,971 × 446,971
  4. Step 4: Simplify right side
    207,691x = 199,783,074,841
  5. Step 5: Solve for x
    x = 199,783,074,841/207,691
  6. Step 6: Final answer
    x = 961,924.57

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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.