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Finding the Third Proportional to 204,522 and 441,710

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Solution

The third proportional to 204,522 and 441,710 is: 953,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,522 : 441,710 = 441,710 : x
  2. Step 2: Convert to fraction form
    204,522/441,710 = 441,710/x
  3. Step 3: Cross multiply
    204,522x = 441,710 × 441,710
  4. Step 4: Simplify right side
    204,522x = 195,107,724,100
  5. Step 5: Solve for x
    x = 195,107,724,100/204,522
  6. Step 6: Final answer
    x = 953,969.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.