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Finding the Third Proportional to 233,969 and 479,004

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Solution

The third proportional to 233,969 and 479,004 is: 980,663.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,969 : 479,004 = 479,004 : x
  2. Step 2: Convert to fraction form
    233,969/479,004 = 479,004/x
  3. Step 3: Cross multiply
    233,969x = 479,004 × 479,004
  4. Step 4: Simplify right side
    233,969x = 229,444,832,016
  5. Step 5: Solve for x
    x = 229,444,832,016/233,969
  6. Step 6: Final answer
    x = 980,663.39

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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.