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Finding the Third Proportional to 458,908.50 and 994,074

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Solution

The third proportional to 458,908.50 and 994,074 is: 2,153,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,908.50 : 994,074 = 994,074 : x
  2. Step 2: Convert to fraction form
    458,908.50/994,074 = 994,074/x
  3. Step 3: Cross multiply
    458,908.50x = 994,074 × 994,074
  4. Step 4: Simplify right side
    458,908.50x = 988,183,117,476
  5. Step 5: Solve for x
    x = 988,183,117,476/458,908.50
  6. Step 6: Final answer
    x = 2,153,333.65

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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.