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Finding the Third Proportional to 364,003 and 551,096

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Solution

The third proportional to 364,003 and 551,096 is: 834,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,003 : 551,096 = 551,096 : x
  2. Step 2: Convert to fraction form
    364,003/551,096 = 551,096/x
  3. Step 3: Cross multiply
    364,003x = 551,096 × 551,096
  4. Step 4: Simplify right side
    364,003x = 303,706,801,216
  5. Step 5: Solve for x
    x = 303,706,801,216/364,003
  6. Step 6: Final answer
    x = 834,352.47

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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.