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Finding the Third Proportional to 202,270 and 443,419

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Solution

The third proportional to 202,270 and 443,419 is: 972,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,270 : 443,419 = 443,419 : x
  2. Step 2: Convert to fraction form
    202,270/443,419 = 443,419/x
  3. Step 3: Cross multiply
    202,270x = 443,419 × 443,419
  4. Step 4: Simplify right side
    202,270x = 196,620,409,561
  5. Step 5: Solve for x
    x = 196,620,409,561/202,270
  6. Step 6: Final answer
    x = 972,069.06

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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.