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Finding the Third Proportional to 519,992 and 783,676

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Solution

The third proportional to 519,992 and 783,676 is: 1,181,072.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,992 : 783,676 = 783,676 : x
  2. Step 2: Convert to fraction form
    519,992/783,676 = 783,676/x
  3. Step 3: Cross multiply
    519,992x = 783,676 × 783,676
  4. Step 4: Simplify right side
    519,992x = 614,148,072,976
  5. Step 5: Solve for x
    x = 614,148,072,976/519,992
  6. Step 6: Final answer
    x = 1,181,072.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.