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Finding the Third Proportional to 550,616 and 833,544

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Solution

The third proportional to 550,616 and 833,544 is: 1,261,851.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,616 : 833,544 = 833,544 : x
  2. Step 2: Convert to fraction form
    550,616/833,544 = 833,544/x
  3. Step 3: Cross multiply
    550,616x = 833,544 × 833,544
  4. Step 4: Simplify right side
    550,616x = 694,795,599,936
  5. Step 5: Solve for x
    x = 694,795,599,936/550,616
  6. Step 6: Final answer
    x = 1,261,851.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.