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Finding the Third Proportional to 363,998.81 and 551,089.83

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Solution

The third proportional to 363,998.81 and 551,089.83 is: 834,343.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,998.81 : 551,089.83 = 551,089.83 : x
  2. Step 2: Convert to fraction form
    363,998.81/551,089.83 = 551,089.83/x
  3. Step 3: Cross multiply
    363,998.81x = 551,089.83 × 551,089.83
  4. Step 4: Simplify right side
    363,998.81x = 303,699,998,662.84
  5. Step 5: Solve for x
    x = 303,699,998,662.84/363,998.81
  6. Step 6: Final answer
    x = 834,343.38

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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.