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Finding the Third Proportional to 233,965.88 and 478,992.75

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Solution

The third proportional to 233,965.88 and 478,992.75 is: 980,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,965.88 : 478,992.75 = 478,992.75 : x
  2. Step 2: Convert to fraction form
    233,965.88/478,992.75 = 478,992.75/x
  3. Step 3: Cross multiply
    233,965.88x = 478,992.75 × 478,992.75
  4. Step 4: Simplify right side
    233,965.88x = 229,434,054,552.56
  5. Step 5: Solve for x
    x = 229,434,054,552.56/233,965.88
  6. Step 6: Final answer
    x = 980,630.42

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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.