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Finding the Third Proportional to 552,192 and 782,994

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Solution

The third proportional to 552,192 and 782,994 is: 1,110,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,192 : 782,994 = 782,994 : x
  2. Step 2: Convert to fraction form
    552,192/782,994 = 782,994/x
  3. Step 3: Cross multiply
    552,192x = 782,994 × 782,994
  4. Step 4: Simplify right side
    552,192x = 613,079,604,036
  5. Step 5: Solve for x
    x = 613,079,604,036/552,192
  6. Step 6: Final answer
    x = 1,110,265.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.