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Finding the Third Proportional to 362,798 and 847,193

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Solution

The third proportional to 362,798 and 847,193 is: 1,978,334.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,798 : 847,193 = 847,193 : x
  2. Step 2: Convert to fraction form
    362,798/847,193 = 847,193/x
  3. Step 3: Cross multiply
    362,798x = 847,193 × 847,193
  4. Step 4: Simplify right side
    362,798x = 717,735,979,249
  5. Step 5: Solve for x
    x = 717,735,979,249/362,798
  6. Step 6: Final answer
    x = 1,978,334.99

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.