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Finding the Third Proportional to 293,161.50 and 642,433.50

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Solution

The third proportional to 293,161.50 and 642,433.50 is: 1,407,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,161.50 : 642,433.50 = 642,433.50 : x
  2. Step 2: Convert to fraction form
    293,161.50/642,433.50 = 642,433.50/x
  3. Step 3: Cross multiply
    293,161.50x = 642,433.50 × 642,433.50
  4. Step 4: Simplify right side
    293,161.50x = 412,720,801,922.25
  5. Step 5: Solve for x
    x = 412,720,801,922.25/293,161.50
  6. Step 6: Final answer
    x = 1,407,827.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.