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Finding the Third Proportional to 364,005 and 551,099

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Solution

The third proportional to 364,005 and 551,099 is: 834,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,005 : 551,099 = 551,099 : x
  2. Step 2: Convert to fraction form
    364,005/551,099 = 551,099/x
  3. Step 3: Cross multiply
    364,005x = 551,099 × 551,099
  4. Step 4: Simplify right side
    364,005x = 303,710,107,801
  5. Step 5: Solve for x
    x = 303,710,107,801/364,005
  6. Step 6: Final answer
    x = 834,356.97

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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.