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Finding the Third Proportional to 574,393 and 804,917

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Solution

The third proportional to 574,393 and 804,917 is: 1,127,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,393 : 804,917 = 804,917 : x
  2. Step 2: Convert to fraction form
    574,393/804,917 = 804,917/x
  3. Step 3: Cross multiply
    574,393x = 804,917 × 804,917
  4. Step 4: Simplify right side
    574,393x = 647,891,376,889
  5. Step 5: Solve for x
    x = 647,891,376,889/574,393
  6. Step 6: Final answer
    x = 1,127,958.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.