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Finding the Third Proportional to 308,472 and 672,978

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Solution

The third proportional to 308,472 and 672,978 is: 1,468,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,472 : 672,978 = 672,978 : x
  2. Step 2: Convert to fraction form
    308,472/672,978 = 672,978/x
  3. Step 3: Cross multiply
    308,472x = 672,978 × 672,978
  4. Step 4: Simplify right side
    308,472x = 452,899,388,484
  5. Step 5: Solve for x
    x = 452,899,388,484/308,472
  6. Step 6: Final answer
    x = 1,468,202.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.