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Finding the Third Proportional to 207,071.44 and 443,642.06

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Solution

The third proportional to 207,071.44 and 443,642.06 is: 950,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,071.44 : 443,642.06 = 443,642.06 : x
  2. Step 2: Convert to fraction form
    207,071.44/443,642.06 = 443,642.06/x
  3. Step 3: Cross multiply
    207,071.44x = 443,642.06 × 443,642.06
  4. Step 4: Simplify right side
    207,071.44x = 196,818,279,619.25
  5. Step 5: Solve for x
    x = 196,818,279,619.25/207,071.44
  6. Step 6: Final answer
    x = 950,484.92

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.