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Finding the Third Proportional to 204,770 and 446,656

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Solution

The third proportional to 204,770 and 446,656 is: 974,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,770 : 446,656 = 446,656 : x
  2. Step 2: Convert to fraction form
    204,770/446,656 = 446,656/x
  3. Step 3: Cross multiply
    204,770x = 446,656 × 446,656
  4. Step 4: Simplify right side
    204,770x = 199,501,582,336
  5. Step 5: Solve for x
    x = 199,501,582,336/204,770
  6. Step 6: Final answer
    x = 974,271.54

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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.