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Finding the Third Proportional to 233,194 and 494,412

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Solution

The third proportional to 233,194 and 494,412 is: 1,048,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,194 : 494,412 = 494,412 : x
  2. Step 2: Convert to fraction form
    233,194/494,412 = 494,412/x
  3. Step 3: Cross multiply
    233,194x = 494,412 × 494,412
  4. Step 4: Simplify right side
    233,194x = 244,443,225,744
  5. Step 5: Solve for x
    x = 244,443,225,744/233,194
  6. Step 6: Final answer
    x = 1,048,239.77

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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.