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Finding the Third Proportional to 294,738.75 and 601,843.50

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Solution

The third proportional to 294,738.75 and 601,843.50 is: 1,228,937.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,738.75 : 601,843.50 = 601,843.50 : x
  2. Step 2: Convert to fraction form
    294,738.75/601,843.50 = 601,843.50/x
  3. Step 3: Cross multiply
    294,738.75x = 601,843.50 × 601,843.50
  4. Step 4: Simplify right side
    294,738.75x = 362,215,598,492.25
  5. Step 5: Solve for x
    x = 362,215,598,492.25/294,738.75
  6. Step 6: Final answer
    x = 1,228,937.83

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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.