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Finding the Third Proportional to 205,124 and 443,053

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Solution

The third proportional to 205,124 and 443,053 is: 956,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,124 : 443,053 = 443,053 : x
  2. Step 2: Convert to fraction form
    205,124/443,053 = 443,053/x
  3. Step 3: Cross multiply
    205,124x = 443,053 × 443,053
  4. Step 4: Simplify right side
    205,124x = 196,295,960,809
  5. Step 5: Solve for x
    x = 196,295,960,809/205,124
  6. Step 6: Final answer
    x = 956,962.43

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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.