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Finding the Third Proportional to 592,330 and 844,190

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Solution

The third proportional to 592,330 and 844,190 is: 1,203,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,330 : 844,190 = 844,190 : x
  2. Step 2: Convert to fraction form
    592,330/844,190 = 844,190/x
  3. Step 3: Cross multiply
    592,330x = 844,190 × 844,190
  4. Step 4: Simplify right side
    592,330x = 712,656,756,100
  5. Step 5: Solve for x
    x = 712,656,756,100/592,330
  6. Step 6: Final answer
    x = 1,203,141.42

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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.