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Finding the Third Proportional to 592,296 and 844,140

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Solution

The third proportional to 592,296 and 844,140 is: 1,203,067.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,296 : 844,140 = 844,140 : x
  2. Step 2: Convert to fraction form
    592,296/844,140 = 844,140/x
  3. Step 3: Cross multiply
    592,296x = 844,140 × 844,140
  4. Step 4: Simplify right side
    592,296x = 712,572,339,600
  5. Step 5: Solve for x
    x = 712,572,339,600/592,296
  6. Step 6: Final answer
    x = 1,203,067.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.