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Finding the Third Proportional to 367,079 and 538,488

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Solution

The third proportional to 367,079 and 538,488 is: 789,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,079 : 538,488 = 538,488 : x
  2. Step 2: Convert to fraction form
    367,079/538,488 = 538,488/x
  3. Step 3: Cross multiply
    367,079x = 538,488 × 538,488
  4. Step 4: Simplify right side
    367,079x = 289,969,326,144
  5. Step 5: Solve for x
    x = 289,969,326,144/367,079
  6. Step 6: Final answer
    x = 789,937.11

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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.