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Finding the Third Proportional to 592,202 and 844,015

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Solution

The third proportional to 592,202 and 844,015 is: 1,202,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,202 : 844,015 = 844,015 : x
  2. Step 2: Convert to fraction form
    592,202/844,015 = 844,015/x
  3. Step 3: Cross multiply
    592,202x = 844,015 × 844,015
  4. Step 4: Simplify right side
    592,202x = 712,361,320,225
  5. Step 5: Solve for x
    x = 712,361,320,225/592,202
  6. Step 6: Final answer
    x = 1,202,902.59

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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.