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Finding the Third Proportional to 205,033 and 443,761.50

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Solution

The third proportional to 205,033 and 443,761.50 is: 960,451.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,033 : 443,761.50 = 443,761.50 : x
  2. Step 2: Convert to fraction form
    205,033/443,761.50 = 443,761.50/x
  3. Step 3: Cross multiply
    205,033x = 443,761.50 × 443,761.50
  4. Step 4: Simplify right side
    205,033x = 196,924,268,882.25
  5. Step 5: Solve for x
    x = 196,924,268,882.25/205,033
  6. Step 6: Final answer
    x = 960,451.58

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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.