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Finding the Third Proportional to 293,002.50 and 594,150

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Solution

The third proportional to 293,002.50 and 594,150 is: 1,204,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,002.50 : 594,150 = 594,150 : x
  2. Step 2: Convert to fraction form
    293,002.50/594,150 = 594,150/x
  3. Step 3: Cross multiply
    293,002.50x = 594,150 × 594,150
  4. Step 4: Simplify right side
    293,002.50x = 353,014,222,500
  5. Step 5: Solve for x
    x = 353,014,222,500/293,002.50
  6. Step 6: Final answer
    x = 1,204,816.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.