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Finding the Third Proportional to 366,757.50 and 561,033.75

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Solution

The third proportional to 366,757.50 and 561,033.75 is: 858,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,757.50 : 561,033.75 = 561,033.75 : x
  2. Step 2: Convert to fraction form
    366,757.50/561,033.75 = 561,033.75/x
  3. Step 3: Cross multiply
    366,757.50x = 561,033.75 × 561,033.75
  4. Step 4: Simplify right side
    366,757.50x = 314,758,868,639.06
  5. Step 5: Solve for x
    x = 314,758,868,639.06/366,757.50
  6. Step 6: Final answer
    x = 858,220.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.