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Finding the Third Proportional to 367,069 and 538,473

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Solution

The third proportional to 367,069 and 538,473 is: 789,914.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,069 : 538,473 = 538,473 : x
  2. Step 2: Convert to fraction form
    367,069/538,473 = 538,473/x
  3. Step 3: Cross multiply
    367,069x = 538,473 × 538,473
  4. Step 4: Simplify right side
    367,069x = 289,953,171,729
  5. Step 5: Solve for x
    x = 289,953,171,729/367,069
  6. Step 6: Final answer
    x = 789,914.63

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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.