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Finding the Third Proportional to 529,002 and 804,576

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Solution

The third proportional to 529,002 and 804,576 is: 1,223,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,002 : 804,576 = 804,576 : x
  2. Step 2: Convert to fraction form
    529,002/804,576 = 804,576/x
  3. Step 3: Cross multiply
    529,002x = 804,576 × 804,576
  4. Step 4: Simplify right side
    529,002x = 647,342,539,776
  5. Step 5: Solve for x
    x = 647,342,539,776/529,002
  6. Step 6: Final answer
    x = 1,223,705.28

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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.