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Finding the Third Proportional to 362,916 and 539,190

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Solution

The third proportional to 362,916 and 539,190 is: 801,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,916 : 539,190 = 539,190 : x
  2. Step 2: Convert to fraction form
    362,916/539,190 = 539,190/x
  3. Step 3: Cross multiply
    362,916x = 539,190 × 539,190
  4. Step 4: Simplify right side
    362,916x = 290,725,856,100
  5. Step 5: Solve for x
    x = 290,725,856,100/362,916
  6. Step 6: Final answer
    x = 801,083.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.