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Finding the Third Proportional to 208,793 and 455,224

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Solution

The third proportional to 208,793 and 455,224 is: 992,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,793 : 455,224 = 455,224 : x
  2. Step 2: Convert to fraction form
    208,793/455,224 = 455,224/x
  3. Step 3: Cross multiply
    208,793x = 455,224 × 455,224
  4. Step 4: Simplify right side
    208,793x = 207,228,890,176
  5. Step 5: Solve for x
    x = 207,228,890,176/208,793
  6. Step 6: Final answer
    x = 992,508.80

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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.