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Finding the Third Proportional to 362,791 and 847,176

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Solution

The third proportional to 362,791 and 847,176 is: 1,978,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,791 : 847,176 = 847,176 : x
  2. Step 2: Convert to fraction form
    362,791/847,176 = 847,176/x
  3. Step 3: Cross multiply
    362,791x = 847,176 × 847,176
  4. Step 4: Simplify right side
    362,791x = 717,707,174,976
  5. Step 5: Solve for x
    x = 717,707,174,976/362,791
  6. Step 6: Final answer
    x = 1,978,293.77

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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.