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Finding the Third Proportional to 204,628 and 447,208

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Solution

The third proportional to 204,628 and 447,208 is: 977,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,628 : 447,208 = 447,208 : x
  2. Step 2: Convert to fraction form
    204,628/447,208 = 447,208/x
  3. Step 3: Cross multiply
    204,628x = 447,208 × 447,208
  4. Step 4: Simplify right side
    204,628x = 199,994,995,264
  5. Step 5: Solve for x
    x = 199,994,995,264/204,628
  6. Step 6: Final answer
    x = 977,358.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.