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Finding the Third Proportional to 205,363 and 449,438

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Solution

The third proportional to 205,363 and 449,438 is: 983,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,363 : 449,438 = 449,438 : x
  2. Step 2: Convert to fraction form
    205,363/449,438 = 449,438/x
  3. Step 3: Cross multiply
    205,363x = 449,438 × 449,438
  4. Step 4: Simplify right side
    205,363x = 201,994,515,844
  5. Step 5: Solve for x
    x = 201,994,515,844/205,363
  6. Step 6: Final answer
    x = 983,597.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.