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Finding the Third Proportional to 529,078 and 794,824

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Solution

The third proportional to 529,078 and 794,824 is: 1,194,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,078 : 794,824 = 794,824 : x
  2. Step 2: Convert to fraction form
    529,078/794,824 = 794,824/x
  3. Step 3: Cross multiply
    529,078x = 794,824 × 794,824
  4. Step 4: Simplify right side
    529,078x = 631,745,190,976
  5. Step 5: Solve for x
    x = 631,745,190,976/529,078
  6. Step 6: Final answer
    x = 1,194,049.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.