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Finding the Third Proportional to 535,012 and 782,824

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Solution

The third proportional to 535,012 and 782,824 is: 1,145,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,012 : 782,824 = 782,824 : x
  2. Step 2: Convert to fraction form
    535,012/782,824 = 782,824/x
  3. Step 3: Cross multiply
    535,012x = 782,824 × 782,824
  4. Step 4: Simplify right side
    535,012x = 612,813,414,976
  5. Step 5: Solve for x
    x = 612,813,414,976/535,012
  6. Step 6: Final answer
    x = 1,145,419.94

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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.