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Finding the Third Proportional to 202,808 and 452,272

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Solution

The third proportional to 202,808 and 452,272 is: 1,008,589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,808 : 452,272 = 452,272 : x
  2. Step 2: Convert to fraction form
    202,808/452,272 = 452,272/x
  3. Step 3: Cross multiply
    202,808x = 452,272 × 452,272
  4. Step 4: Simplify right side
    202,808x = 204,549,961,984
  5. Step 5: Solve for x
    x = 204,549,961,984/202,808
  6. Step 6: Final answer
    x = 1,008,589.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.