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Finding the Third Proportional to 308,110 and 666,764

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Solution

The third proportional to 308,110 and 666,764 is: 1,442,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,110 : 666,764 = 666,764 : x
  2. Step 2: Convert to fraction form
    308,110/666,764 = 666,764/x
  3. Step 3: Cross multiply
    308,110x = 666,764 × 666,764
  4. Step 4: Simplify right side
    308,110x = 444,574,231,696
  5. Step 5: Solve for x
    x = 444,574,231,696/308,110
  6. Step 6: Final answer
    x = 1,442,907.51

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.