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Finding the Third Proportional to 202,460 and 443,055

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Solution

The third proportional to 202,460 and 443,055 is: 969,563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,460 : 443,055 = 443,055 : x
  2. Step 2: Convert to fraction form
    202,460/443,055 = 443,055/x
  3. Step 3: Cross multiply
    202,460x = 443,055 × 443,055
  4. Step 4: Simplify right side
    202,460x = 196,297,733,025
  5. Step 5: Solve for x
    x = 196,297,733,025/202,460
  6. Step 6: Final answer
    x = 969,563.04

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Why These Related Problems?

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