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Finding the Third Proportional to 367,078 and 538,486

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Solution

The third proportional to 367,078 and 538,486 is: 789,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,078 : 538,486 = 538,486 : x
  2. Step 2: Convert to fraction form
    367,078/538,486 = 538,486/x
  3. Step 3: Cross multiply
    367,078x = 538,486 × 538,486
  4. Step 4: Simplify right side
    367,078x = 289,967,172,196
  5. Step 5: Solve for x
    x = 289,967,172,196/367,078
  6. Step 6: Final answer
    x = 789,933.40

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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.