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Finding the Third Proportional to 208,494 and 455,226

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Solution

The third proportional to 208,494 and 455,226 is: 993,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,494 : 455,226 = 455,226 : x
  2. Step 2: Convert to fraction form
    208,494/455,226 = 455,226/x
  3. Step 3: Cross multiply
    208,494x = 455,226 × 455,226
  4. Step 4: Simplify right side
    208,494x = 207,230,711,076
  5. Step 5: Solve for x
    x = 207,230,711,076/208,494
  6. Step 6: Final answer
    x = 993,940.89

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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.