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Finding the Third Proportional to 206,748 and 445,032

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Solution

The third proportional to 206,748 and 445,032 is: 957,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,748 : 445,032 = 445,032 : x
  2. Step 2: Convert to fraction form
    206,748/445,032 = 445,032/x
  3. Step 3: Cross multiply
    206,748x = 445,032 × 445,032
  4. Step 4: Simplify right side
    206,748x = 198,053,481,024
  5. Step 5: Solve for x
    x = 198,053,481,024/206,748
  6. Step 6: Final answer
    x = 957,946.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.