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Finding the Third Proportional to 202,479.75 and 443,095.31

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Solution

The third proportional to 202,479.75 and 443,095.31 is: 969,644.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,479.75 : 443,095.31 = 443,095.31 : x
  2. Step 2: Convert to fraction form
    202,479.75/443,095.31 = 443,095.31/x
  3. Step 3: Cross multiply
    202,479.75x = 443,095.31 × 443,095.31
  4. Step 4: Simplify right side
    202,479.75x = 196,333,455,959.47
  5. Step 5: Solve for x
    x = 196,333,455,959.47/202,479.75
  6. Step 6: Final answer
    x = 969,644.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.