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Finding the Third Proportional to 367,099 and 538,518

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Solution

The third proportional to 367,099 and 538,518 is: 789,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,099 : 538,518 = 538,518 : x
  2. Step 2: Convert to fraction form
    367,099/538,518 = 538,518/x
  3. Step 3: Cross multiply
    367,099x = 538,518 × 538,518
  4. Step 4: Simplify right side
    367,099x = 290,001,636,324
  5. Step 5: Solve for x
    x = 290,001,636,324/367,099
  6. Step 6: Final answer
    x = 789,982.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.