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Finding the Third Proportional to 230,079 and 494,312

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Solution

The third proportional to 230,079 and 494,312 is: 1,062,001.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,079 : 494,312 = 494,312 : x
  2. Step 2: Convert to fraction form
    230,079/494,312 = 494,312/x
  3. Step 3: Cross multiply
    230,079x = 494,312 × 494,312
  4. Step 4: Simplify right side
    230,079x = 244,344,353,344
  5. Step 5: Solve for x
    x = 244,344,353,344/230,079
  6. Step 6: Final answer
    x = 1,062,001.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.