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Finding the Third Proportional to 293,887.50 and 600,225

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Solution

The third proportional to 293,887.50 and 600,225 is: 1,225,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,887.50 : 600,225 = 600,225 : x
  2. Step 2: Convert to fraction form
    293,887.50/600,225 = 600,225/x
  3. Step 3: Cross multiply
    293,887.50x = 600,225 × 600,225
  4. Step 4: Simplify right side
    293,887.50x = 360,270,050,625
  5. Step 5: Solve for x
    x = 360,270,050,625/293,887.50
  6. Step 6: Final answer
    x = 1,225,877.42

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.