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Finding the Third Proportional to 233,968 and 479,002

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Solution

The third proportional to 233,968 and 479,002 is: 980,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,968 : 479,002 = 479,002 : x
  2. Step 2: Convert to fraction form
    233,968/479,002 = 479,002/x
  3. Step 3: Cross multiply
    233,968x = 479,002 × 479,002
  4. Step 4: Simplify right side
    233,968x = 229,442,916,004
  5. Step 5: Solve for x
    x = 229,442,916,004/233,968
  6. Step 6: Final answer
    x = 980,659.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.