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Finding the Third Proportional to 366,978 and 759,136

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Solution

The third proportional to 366,978 and 759,136 is: 1,570,359.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,978 : 759,136 = 759,136 : x
  2. Step 2: Convert to fraction form
    366,978/759,136 = 759,136/x
  3. Step 3: Cross multiply
    366,978x = 759,136 × 759,136
  4. Step 4: Simplify right side
    366,978x = 576,287,466,496
  5. Step 5: Solve for x
    x = 576,287,466,496/366,978
  6. Step 6: Final answer
    x = 1,570,359.71

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.