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Finding the Third Proportional to 282,888 and 377,667

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Solution

The third proportional to 282,888 and 377,667 is: 504,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,888 : 377,667 = 377,667 : x
  2. Step 2: Convert to fraction form
    282,888/377,667 = 377,667/x
  3. Step 3: Cross multiply
    282,888x = 377,667 × 377,667
  4. Step 4: Simplify right side
    282,888x = 142,632,362,889
  5. Step 5: Solve for x
    x = 142,632,362,889/282,888
  6. Step 6: Final answer
    x = 504,200.82

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.