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Finding the Third Proportional to 529,002 and 804,574

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Solution

The third proportional to 529,002 and 804,574 is: 1,223,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,002 : 804,574 = 804,574 : x
  2. Step 2: Convert to fraction form
    529,002/804,574 = 804,574/x
  3. Step 3: Cross multiply
    529,002x = 804,574 × 804,574
  4. Step 4: Simplify right side
    529,002x = 647,339,321,476
  5. Step 5: Solve for x
    x = 647,339,321,476/529,002
  6. Step 6: Final answer
    x = 1,223,699.19

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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.