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Finding the Third Proportional to 204,703 and 444,370

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Solution

The third proportional to 204,703 and 444,370 is: 964,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,703 : 444,370 = 444,370 : x
  2. Step 2: Convert to fraction form
    204,703/444,370 = 444,370/x
  3. Step 3: Cross multiply
    204,703x = 444,370 × 444,370
  4. Step 4: Simplify right side
    204,703x = 197,464,696,900
  5. Step 5: Solve for x
    x = 197,464,696,900/204,703
  6. Step 6: Final answer
    x = 964,639.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.