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Finding the Third Proportional to 446,872.50 and 957,703.50

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Solution

The third proportional to 446,872.50 and 957,703.50 is: 2,052,478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,872.50 : 957,703.50 = 957,703.50 : x
  2. Step 2: Convert to fraction form
    446,872.50/957,703.50 = 957,703.50/x
  3. Step 3: Cross multiply
    446,872.50x = 957,703.50 × 957,703.50
  4. Step 4: Simplify right side
    446,872.50x = 917,195,993,912.25
  5. Step 5: Solve for x
    x = 917,195,993,912.25/446,872.50
  6. Step 6: Final answer
    x = 2,052,478.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.