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Finding the Third Proportional to 457,888.50 and 994,596.75

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Solution

The third proportional to 457,888.50 and 994,596.75 is: 2,160,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,888.50 : 994,596.75 = 994,596.75 : x
  2. Step 2: Convert to fraction form
    457,888.50/994,596.75 = 994,596.75/x
  3. Step 3: Cross multiply
    457,888.50x = 994,596.75 × 994,596.75
  4. Step 4: Simplify right side
    457,888.50x = 989,222,695,110.56
  5. Step 5: Solve for x
    x = 989,222,695,110.56/457,888.50
  6. Step 6: Final answer
    x = 2,160,400.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.