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Finding the Third Proportional to 233,965.50 and 478,997.63

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Solution

The third proportional to 233,965.50 and 478,997.63 is: 980,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,965.50 : 478,997.63 = 478,997.63 : x
  2. Step 2: Convert to fraction form
    233,965.50/478,997.63 = 478,997.63/x
  3. Step 3: Cross multiply
    233,965.50x = 478,997.63 × 478,997.63
  4. Step 4: Simplify right side
    233,965.50x = 229,438,724,755.64
  5. Step 5: Solve for x
    x = 229,438,724,755.64/233,965.50
  6. Step 6: Final answer
    x = 980,651.95

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