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Finding the Third Proportional to 233,191.72 and 494,407.23

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Solution

The third proportional to 233,191.72 and 494,407.23 is: 1,048,229.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,191.72 : 494,407.23 = 494,407.23 : x
  2. Step 2: Convert to fraction form
    233,191.72/494,407.23 = 494,407.23/x
  3. Step 3: Cross multiply
    233,191.72x = 494,407.23 × 494,407.23
  4. Step 4: Simplify right side
    233,191.72x = 244,438,509,539.78
  5. Step 5: Solve for x
    x = 244,438,509,539.78/233,191.72
  6. Step 6: Final answer
    x = 1,048,229.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.