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Finding the Third Proportional to 304,578 and 669,906

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Solution

The third proportional to 304,578 and 669,906 is: 1,473,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,578 : 669,906 = 669,906 : x
  2. Step 2: Convert to fraction form
    304,578/669,906 = 669,906/x
  3. Step 3: Cross multiply
    304,578x = 669,906 × 669,906
  4. Step 4: Simplify right side
    304,578x = 448,774,048,836
  5. Step 5: Solve for x
    x = 448,774,048,836/304,578
  6. Step 6: Final answer
    x = 1,473,428.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.