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Finding the Third Proportional to 204,522 and 437,476

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Solution

The third proportional to 204,522 and 437,476 is: 935,768.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,522 : 437,476 = 437,476 : x
  2. Step 2: Convert to fraction form
    204,522/437,476 = 437,476/x
  3. Step 3: Cross multiply
    204,522x = 437,476 × 437,476
  4. Step 4: Simplify right side
    204,522x = 191,385,250,576
  5. Step 5: Solve for x
    x = 191,385,250,576/204,522
  6. Step 6: Final answer
    x = 935,768.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.