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Finding the Third Proportional to 367,044 and 536,398

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Solution

The third proportional to 367,044 and 536,398 is: 783,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,044 : 536,398 = 536,398 : x
  2. Step 2: Convert to fraction form
    367,044/536,398 = 536,398/x
  3. Step 3: Cross multiply
    367,044x = 536,398 × 536,398
  4. Step 4: Simplify right side
    367,044x = 287,722,814,404
  5. Step 5: Solve for x
    x = 287,722,814,404/367,044
  6. Step 6: Final answer
    x = 783,891.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.