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Finding the Third Proportional to 367,093 and 538,509

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Solution

The third proportional to 367,093 and 538,509 is: 789,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,093 : 538,509 = 538,509 : x
  2. Step 2: Convert to fraction form
    367,093/538,509 = 538,509/x
  3. Step 3: Cross multiply
    367,093x = 538,509 × 538,509
  4. Step 4: Simplify right side
    367,093x = 289,991,943,081
  5. Step 5: Solve for x
    x = 289,991,943,081/367,093
  6. Step 6: Final answer
    x = 789,968.60

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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.