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Finding the Third Proportional to 204,754 and 447,332

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Solution

The third proportional to 204,754 and 447,332 is: 977,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,754 : 447,332 = 447,332 : x
  2. Step 2: Convert to fraction form
    204,754/447,332 = 447,332/x
  3. Step 3: Cross multiply
    204,754x = 447,332 × 447,332
  4. Step 4: Simplify right side
    204,754x = 200,105,918,224
  5. Step 5: Solve for x
    x = 200,105,918,224/204,754
  6. Step 6: Final answer
    x = 977,299.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.