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Finding the Third Proportional to 308,084 and 662,008

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Solution

The third proportional to 308,084 and 662,008 is: 1,422,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,084 : 662,008 = 662,008 : x
  2. Step 2: Convert to fraction form
    308,084/662,008 = 662,008/x
  3. Step 3: Cross multiply
    308,084x = 662,008 × 662,008
  4. Step 4: Simplify right side
    308,084x = 438,254,592,064
  5. Step 5: Solve for x
    x = 438,254,592,064/308,084
  6. Step 6: Final answer
    x = 1,422,516.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.