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Finding the Third Proportional to 529,001 and 804,573

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Solution

The third proportional to 529,001 and 804,573 is: 1,223,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,001 : 804,573 = 804,573 : x
  2. Step 2: Convert to fraction form
    529,001/804,573 = 804,573/x
  3. Step 3: Cross multiply
    529,001x = 804,573 × 804,573
  4. Step 4: Simplify right side
    529,001x = 647,337,712,329
  5. Step 5: Solve for x
    x = 647,337,712,329/529,001
  6. Step 6: Final answer
    x = 1,223,698.47

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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.