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Finding the Third Proportional to 592,567 and 844,864

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Solution

The third proportional to 592,567 and 844,864 is: 1,204,581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,567 : 844,864 = 844,864 : x
  2. Step 2: Convert to fraction form
    592,567/844,864 = 844,864/x
  3. Step 3: Cross multiply
    592,567x = 844,864 × 844,864
  4. Step 4: Simplify right side
    592,567x = 713,795,178,496
  5. Step 5: Solve for x
    x = 713,795,178,496/592,567
  6. Step 6: Final answer
    x = 1,204,581.39

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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.