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Finding the Third Proportional to 208,928 and 493,112

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Solution

The third proportional to 208,928 and 493,112 is: 1,163,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,928 : 493,112 = 493,112 : x
  2. Step 2: Convert to fraction form
    208,928/493,112 = 493,112/x
  3. Step 3: Cross multiply
    208,928x = 493,112 × 493,112
  4. Step 4: Simplify right side
    208,928x = 243,159,444,544
  5. Step 5: Solve for x
    x = 243,159,444,544/208,928
  6. Step 6: Final answer
    x = 1,163,843.26

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.