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Finding the Third Proportional to 592,223 and 844,041

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Solution

The third proportional to 592,223 and 844,041 is: 1,202,934.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,223 : 844,041 = 844,041 : x
  2. Step 2: Convert to fraction form
    592,223/844,041 = 844,041/x
  3. Step 3: Cross multiply
    592,223x = 844,041 × 844,041
  4. Step 4: Simplify right side
    592,223x = 712,405,209,681
  5. Step 5: Solve for x
    x = 712,405,209,681/592,223
  6. Step 6: Final answer
    x = 1,202,934.05

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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.