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Finding the Third Proportional to 233,970 and 479,006

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Solution

The third proportional to 233,970 and 479,006 is: 980,667.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,970 : 479,006 = 479,006 : x
  2. Step 2: Convert to fraction form
    233,970/479,006 = 479,006/x
  3. Step 3: Cross multiply
    233,970x = 479,006 × 479,006
  4. Step 4: Simplify right side
    233,970x = 229,446,748,036
  5. Step 5: Solve for x
    x = 229,446,748,036/233,970
  6. Step 6: Final answer
    x = 980,667.38

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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.