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Finding the Third Proportional to 361,257.75 and 794,025

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Solution

The third proportional to 361,257.75 and 794,025 is: 1,745,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,257.75 : 794,025 = 794,025 : x
  2. Step 2: Convert to fraction form
    361,257.75/794,025 = 794,025/x
  3. Step 3: Cross multiply
    361,257.75x = 794,025 × 794,025
  4. Step 4: Simplify right side
    361,257.75x = 630,475,700,625
  5. Step 5: Solve for x
    x = 630,475,700,625/361,257.75
  6. Step 6: Final answer
    x = 1,745,224.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.