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Finding the Third Proportional to 310,317 and 442,936

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Solution

The third proportional to 310,317 and 442,936 is: 632,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,317 : 442,936 = 442,936 : x
  2. Step 2: Convert to fraction form
    310,317/442,936 = 442,936/x
  3. Step 3: Cross multiply
    310,317x = 442,936 × 442,936
  4. Step 4: Simplify right side
    310,317x = 196,192,300,096
  5. Step 5: Solve for x
    x = 196,192,300,096/310,317
  6. Step 6: Final answer
    x = 632,231.88

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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.