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Finding the Third Proportional to 255,912 and 550,704

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Solution

The third proportional to 255,912 and 550,704 is: 1,185,074.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,912 : 550,704 = 550,704 : x
  2. Step 2: Convert to fraction form
    255,912/550,704 = 550,704/x
  3. Step 3: Cross multiply
    255,912x = 550,704 × 550,704
  4. Step 4: Simplify right side
    255,912x = 303,274,895,616
  5. Step 5: Solve for x
    x = 303,274,895,616/255,912
  6. Step 6: Final answer
    x = 1,185,074.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.