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Finding the Third Proportional to 294,747.50 and 600,333.75

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Solution

The third proportional to 294,747.50 and 600,333.75 is: 1,222,743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,747.50 : 600,333.75 = 600,333.75 : x
  2. Step 2: Convert to fraction form
    294,747.50/600,333.75 = 600,333.75/x
  3. Step 3: Cross multiply
    294,747.50x = 600,333.75 × 600,333.75
  4. Step 4: Simplify right side
    294,747.50x = 360,400,611,389.06
  5. Step 5: Solve for x
    x = 360,400,611,389.06/294,747.50
  6. Step 6: Final answer
    x = 1,222,743.57

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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.