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Finding the Third Proportional to 529,016 and 804,598

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Solution

The third proportional to 529,016 and 804,598 is: 1,223,739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,016 : 804,598 = 804,598 : x
  2. Step 2: Convert to fraction form
    529,016/804,598 = 804,598/x
  3. Step 3: Cross multiply
    529,016x = 804,598 × 804,598
  4. Step 4: Simplify right side
    529,016x = 647,377,941,604
  5. Step 5: Solve for x
    x = 647,377,941,604/529,016
  6. Step 6: Final answer
    x = 1,223,739.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.