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Finding the Third Proportional to 529,014 and 804,593

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Solution

The third proportional to 529,014 and 804,593 is: 1,223,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,014 : 804,593 = 804,593 : x
  2. Step 2: Convert to fraction form
    529,014/804,593 = 804,593/x
  3. Step 3: Cross multiply
    529,014x = 804,593 × 804,593
  4. Step 4: Simplify right side
    529,014x = 647,369,895,649
  5. Step 5: Solve for x
    x = 647,369,895,649/529,014
  6. Step 6: Final answer
    x = 1,223,729.23

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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.