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Finding the Third Proportional to 367,057 and 538,455

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Solution

The third proportional to 367,057 and 538,455 is: 789,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,057 : 538,455 = 538,455 : x
  2. Step 2: Convert to fraction form
    367,057/538,455 = 538,455/x
  3. Step 3: Cross multiply
    367,057x = 538,455 × 538,455
  4. Step 4: Simplify right side
    367,057x = 289,933,787,025
  5. Step 5: Solve for x
    x = 289,933,787,025/367,057
  6. Step 6: Final answer
    x = 789,887.64

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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.