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Finding the Third Proportional to 592,204 and 844,018

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Solution

The third proportional to 592,204 and 844,018 is: 1,202,907.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,204 : 844,018 = 844,018 : x
  2. Step 2: Convert to fraction form
    592,204/844,018 = 844,018/x
  3. Step 3: Cross multiply
    592,204x = 844,018 × 844,018
  4. Step 4: Simplify right side
    592,204x = 712,366,384,324
  5. Step 5: Solve for x
    x = 712,366,384,324/592,204
  6. Step 6: Final answer
    x = 1,202,907.08

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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.