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Finding the Third Proportional to 205,124 and 443,054

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Solution

The third proportional to 205,124 and 443,054 is: 956,966.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,124 : 443,054 = 443,054 : x
  2. Step 2: Convert to fraction form
    205,124/443,054 = 443,054/x
  3. Step 3: Cross multiply
    205,124x = 443,054 × 443,054
  4. Step 4: Simplify right side
    205,124x = 196,296,846,916
  5. Step 5: Solve for x
    x = 196,296,846,916/205,124
  6. Step 6: Final answer
    x = 956,966.75

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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.