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Finding the Third Proportional to 362,124 and 550,962

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Solution

The third proportional to 362,124 and 550,962 is: 838,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,124 : 550,962 = 550,962 : x
  2. Step 2: Convert to fraction form
    362,124/550,962 = 550,962/x
  3. Step 3: Cross multiply
    362,124x = 550,962 × 550,962
  4. Step 4: Simplify right side
    362,124x = 303,559,125,444
  5. Step 5: Solve for x
    x = 303,559,125,444/362,124
  6. Step 6: Final answer
    x = 838,273.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.