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Finding the Third Proportional to 208,994 and 313,004

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Solution

The third proportional to 208,994 and 313,004 is: 468,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,994 : 313,004 = 313,004 : x
  2. Step 2: Convert to fraction form
    208,994/313,004 = 313,004/x
  3. Step 3: Cross multiply
    208,994x = 313,004 × 313,004
  4. Step 4: Simplify right side
    208,994x = 97,971,504,016
  5. Step 5: Solve for x
    x = 97,971,504,016/208,994
  6. Step 6: Final answer
    x = 468,776.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.