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Finding the Third Proportional to 592,328 and 844,187

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Solution

The third proportional to 592,328 and 844,187 is: 1,203,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,328 : 844,187 = 844,187 : x
  2. Step 2: Convert to fraction form
    592,328/844,187 = 844,187/x
  3. Step 3: Cross multiply
    592,328x = 844,187 × 844,187
  4. Step 4: Simplify right side
    592,328x = 712,651,690,969
  5. Step 5: Solve for x
    x = 712,651,690,969/592,328
  6. Step 6: Final answer
    x = 1,203,136.93

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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.