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Finding the Third Proportional to 529,004 and 804,577

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Solution

The third proportional to 529,004 and 804,577 is: 1,223,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,004 : 804,577 = 804,577 : x
  2. Step 2: Convert to fraction form
    529,004/804,577 = 804,577/x
  3. Step 3: Cross multiply
    529,004x = 804,577 × 804,577
  4. Step 4: Simplify right side
    529,004x = 647,344,148,929
  5. Step 5: Solve for x
    x = 647,344,148,929/529,004
  6. Step 6: Final answer
    x = 1,223,703.69

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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.