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Finding the Third Proportional to 308,640.38 and 440,509.64

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Solution

The third proportional to 308,640.38 and 440,509.64 is: 628,721.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,640.38 : 440,509.64 = 440,509.64 : x
  2. Step 2: Convert to fraction form
    308,640.38/440,509.64 = 440,509.64/x
  3. Step 3: Cross multiply
    308,640.38x = 440,509.64 × 440,509.64
  4. Step 4: Simplify right side
    308,640.38x = 194,048,743,483.57
  5. Step 5: Solve for x
    x = 194,048,743,483.57/308,640.38
  6. Step 6: Final answer
    x = 628,721.19

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.