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Finding the Third Proportional to 205,031 and 443,758.50

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Solution

The third proportional to 205,031 and 443,758.50 is: 960,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,031 : 443,758.50 = 443,758.50 : x
  2. Step 2: Convert to fraction form
    205,031/443,758.50 = 443,758.50/x
  3. Step 3: Cross multiply
    205,031x = 443,758.50 × 443,758.50
  4. Step 4: Simplify right side
    205,031x = 196,921,606,322.25
  5. Step 5: Solve for x
    x = 196,921,606,322.25/205,031
  6. Step 6: Final answer
    x = 960,447.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.