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Finding the Third Proportional to 205,436 and 448,684

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Solution

The third proportional to 205,436 and 448,684 is: 979,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,436 : 448,684 = 448,684 : x
  2. Step 2: Convert to fraction form
    205,436/448,684 = 448,684/x
  3. Step 3: Cross multiply
    205,436x = 448,684 × 448,684
  4. Step 4: Simplify right side
    205,436x = 201,317,331,856
  5. Step 5: Solve for x
    x = 201,317,331,856/205,436
  6. Step 6: Final answer
    x = 979,951.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.