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Finding the Third Proportional to 305,888 and 660,976

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Solution

The third proportional to 305,888 and 660,976 is: 1,428,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,888 : 660,976 = 660,976 : x
  2. Step 2: Convert to fraction form
    305,888/660,976 = 660,976/x
  3. Step 3: Cross multiply
    305,888x = 660,976 × 660,976
  4. Step 4: Simplify right side
    305,888x = 436,889,272,576
  5. Step 5: Solve for x
    x = 436,889,272,576/305,888
  6. Step 6: Final answer
    x = 1,428,265.48

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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.