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Finding the Third Proportional to 529,022 and 804,605

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Solution

The third proportional to 529,022 and 804,605 is: 1,223,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,022 : 804,605 = 804,605 : x
  2. Step 2: Convert to fraction form
    529,022/804,605 = 804,605/x
  3. Step 3: Cross multiply
    529,022x = 804,605 × 804,605
  4. Step 4: Simplify right side
    529,022x = 647,389,206,025
  5. Step 5: Solve for x
    x = 647,389,206,025/529,022
  6. Step 6: Final answer
    x = 1,223,747.23

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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.