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Finding the Third Proportional to 541,000 and 783,692

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Solution

The third proportional to 541,000 and 783,692 is: 1,135,255.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,000 : 783,692 = 783,692 : x
  2. Step 2: Convert to fraction form
    541,000/783,692 = 783,692/x
  3. Step 3: Cross multiply
    541,000x = 783,692 × 783,692
  4. Step 4: Simplify right side
    541,000x = 614,173,150,864
  5. Step 5: Solve for x
    x = 614,173,150,864/541,000
  6. Step 6: Final answer
    x = 1,135,255.36

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.