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Finding the Third Proportional to 457,692.75 and 957,215.25

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Solution

The third proportional to 457,692.75 and 957,215.25 is: 2,001,912.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,692.75 : 957,215.25 = 957,215.25 : x
  2. Step 2: Convert to fraction form
    457,692.75/957,215.25 = 957,215.25/x
  3. Step 3: Cross multiply
    457,692.75x = 957,215.25 × 957,215.25
  4. Step 4: Simplify right side
    457,692.75x = 916,261,034,832.56
  5. Step 5: Solve for x
    x = 916,261,034,832.56/457,692.75
  6. Step 6: Final answer
    x = 2,001,912.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.