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Finding the Third Proportional to 416,568.50 and 630,695

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Solution

The third proportional to 416,568.50 and 630,695 is: 954,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,568.50 : 630,695 = 630,695 : x
  2. Step 2: Convert to fraction form
    416,568.50/630,695 = 630,695/x
  3. Step 3: Cross multiply
    416,568.50x = 630,695 × 630,695
  4. Step 4: Simplify right side
    416,568.50x = 397,776,183,025
  5. Step 5: Solve for x
    x = 397,776,183,025/416,568.50
  6. Step 6: Final answer
    x = 954,887.81

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