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Finding the Third Proportional to 529,034 and 804,622

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Solution

The third proportional to 529,034 and 804,622 is: 1,223,771.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,034 : 804,622 = 804,622 : x
  2. Step 2: Convert to fraction form
    529,034/804,622 = 804,622/x
  3. Step 3: Cross multiply
    529,034x = 804,622 × 804,622
  4. Step 4: Simplify right side
    529,034x = 647,416,562,884
  5. Step 5: Solve for x
    x = 647,416,562,884/529,034
  6. Step 6: Final answer
    x = 1,223,771.18

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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.