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Finding the Third Proportional to 202,266 and 443,412

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Solution

The third proportional to 202,266 and 443,412 is: 972,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,266 : 443,412 = 443,412 : x
  2. Step 2: Convert to fraction form
    202,266/443,412 = 443,412/x
  3. Step 3: Cross multiply
    202,266x = 443,412 × 443,412
  4. Step 4: Simplify right side
    202,266x = 196,614,201,744
  5. Step 5: Solve for x
    x = 196,614,201,744/202,266
  6. Step 6: Final answer
    x = 972,057.60

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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.