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Finding the Third Proportional to 364,001 and 551,093

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Solution

The third proportional to 364,001 and 551,093 is: 834,347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,001 : 551,093 = 551,093 : x
  2. Step 2: Convert to fraction form
    364,001/551,093 = 551,093/x
  3. Step 3: Cross multiply
    364,001x = 551,093 × 551,093
  4. Step 4: Simplify right side
    364,001x = 303,703,494,649
  5. Step 5: Solve for x
    x = 303,703,494,649/364,001
  6. Step 6: Final answer
    x = 834,347.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.