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Finding the Third Proportional to 416,157.75 and 630,274.50

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Solution

The third proportional to 416,157.75 and 630,274.50 is: 954,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,157.75 : 630,274.50 = 630,274.50 : x
  2. Step 2: Convert to fraction form
    416,157.75/630,274.50 = 630,274.50/x
  3. Step 3: Cross multiply
    416,157.75x = 630,274.50 × 630,274.50
  4. Step 4: Simplify right side
    416,157.75x = 397,245,945,350.25
  5. Step 5: Solve for x
    x = 397,245,945,350.25/416,157.75
  6. Step 6: Final answer
    x = 954,556.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.