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Finding the Third Proportional to 367,089 and 538,503

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Solution

The third proportional to 367,089 and 538,503 is: 789,959.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,089 : 538,503 = 538,503 : x
  2. Step 2: Convert to fraction form
    367,089/538,503 = 538,503/x
  3. Step 3: Cross multiply
    367,089x = 538,503 × 538,503
  4. Step 4: Simplify right side
    367,089x = 289,985,481,009
  5. Step 5: Solve for x
    x = 289,985,481,009/367,089
  6. Step 6: Final answer
    x = 789,959.60

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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.