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Finding the Third Proportional to 529,012 and 804,589

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Solution

The third proportional to 529,012 and 804,589 is: 1,223,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,012 : 804,589 = 804,589 : x
  2. Step 2: Convert to fraction form
    529,012/804,589 = 804,589/x
  3. Step 3: Cross multiply
    529,012x = 804,589 × 804,589
  4. Step 4: Simplify right side
    529,012x = 647,363,458,921
  5. Step 5: Solve for x
    x = 647,363,458,921/529,012
  6. Step 6: Final answer
    x = 1,223,721.69

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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.