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Finding the Third Proportional to 201,810 and 428,219

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Solution

The third proportional to 201,810 and 428,219 is: 908,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,810 : 428,219 = 428,219 : x
  2. Step 2: Convert to fraction form
    201,810/428,219 = 428,219/x
  3. Step 3: Cross multiply
    201,810x = 428,219 × 428,219
  4. Step 4: Simplify right side
    201,810x = 183,371,511,961
  5. Step 5: Solve for x
    x = 183,371,511,961/201,810
  6. Step 6: Final answer
    x = 908,634.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.