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Finding the Third Proportional to 457,812.75 and 994,436.25

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Solution

The third proportional to 457,812.75 and 994,436.25 is: 2,160,060.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,812.75 : 994,436.25 = 994,436.25 : x
  2. Step 2: Convert to fraction form
    457,812.75/994,436.25 = 994,436.25/x
  3. Step 3: Cross multiply
    457,812.75x = 994,436.25 × 994,436.25
  4. Step 4: Simplify right side
    457,812.75x = 988,903,455,314.06
  5. Step 5: Solve for x
    x = 988,903,455,314.06/457,812.75
  6. Step 6: Final answer
    x = 2,160,060.98

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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.