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Finding the Third Proportional to 204,527 and 441,720

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Solution

The third proportional to 204,527 and 441,720 is: 953,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,527 : 441,720 = 441,720 : x
  2. Step 2: Convert to fraction form
    204,527/441,720 = 441,720/x
  3. Step 3: Cross multiply
    204,527x = 441,720 × 441,720
  4. Step 4: Simplify right side
    204,527x = 195,116,558,400
  5. Step 5: Solve for x
    x = 195,116,558,400/204,527
  6. Step 6: Final answer
    x = 953,989.25

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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.