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Finding the Third Proportional to 544,138 and 844,623

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Solution

The third proportional to 544,138 and 844,623 is: 1,311,042.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,138 : 844,623 = 844,623 : x
  2. Step 2: Convert to fraction form
    544,138/844,623 = 844,623/x
  3. Step 3: Cross multiply
    544,138x = 844,623 × 844,623
  4. Step 4: Simplify right side
    544,138x = 713,388,012,129
  5. Step 5: Solve for x
    x = 713,388,012,129/544,138
  6. Step 6: Final answer
    x = 1,311,042.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.