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Finding the Third Proportional to 304,823.25 and 667,764

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Solution

The third proportional to 304,823.25 and 667,764 is: 1,462,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,823.25 : 667,764 = 667,764 : x
  2. Step 2: Convert to fraction form
    304,823.25/667,764 = 667,764/x
  3. Step 3: Cross multiply
    304,823.25x = 667,764 × 667,764
  4. Step 4: Simplify right side
    304,823.25x = 445,908,759,696
  5. Step 5: Solve for x
    x = 445,908,759,696/304,823.25
  6. Step 6: Final answer
    x = 1,462,843.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.