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Finding the Third Proportional to 233,824.50 and 505,035

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Solution

The third proportional to 233,824.50 and 505,035 is: 1,090,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,824.50 : 505,035 = 505,035 : x
  2. Step 2: Convert to fraction form
    233,824.50/505,035 = 505,035/x
  3. Step 3: Cross multiply
    233,824.50x = 505,035 × 505,035
  4. Step 4: Simplify right side
    233,824.50x = 255,060,351,225
  5. Step 5: Solve for x
    x = 255,060,351,225/233,824.50
  6. Step 6: Final answer
    x = 1,090,819.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.