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Finding the Third Proportional to 367,321.50 and 538,398

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Solution

The third proportional to 367,321.50 and 538,398 is: 789,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,321.50 : 538,398 = 538,398 : x
  2. Step 2: Convert to fraction form
    367,321.50/538,398 = 538,398/x
  3. Step 3: Cross multiply
    367,321.50x = 538,398 × 538,398
  4. Step 4: Simplify right side
    367,321.50x = 289,872,406,404
  5. Step 5: Solve for x
    x = 289,872,406,404/367,321.50
  6. Step 6: Final answer
    x = 789,151.76

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