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Finding the Third Proportional to 205,410 and 444,516

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Solution

The third proportional to 205,410 and 444,516 is: 961,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,410 : 444,516 = 444,516 : x
  2. Step 2: Convert to fraction form
    205,410/444,516 = 444,516/x
  3. Step 3: Cross multiply
    205,410x = 444,516 × 444,516
  4. Step 4: Simplify right side
    205,410x = 197,594,474,256
  5. Step 5: Solve for x
    x = 197,594,474,256/205,410
  6. Step 6: Final answer
    x = 961,951.58

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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.