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Finding the Third Proportional to 416,506 and 622,976

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Solution

The third proportional to 416,506 and 622,976 is: 931,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,506 : 622,976 = 622,976 : x
  2. Step 2: Convert to fraction form
    416,506/622,976 = 622,976/x
  3. Step 3: Cross multiply
    416,506x = 622,976 × 622,976
  4. Step 4: Simplify right side
    416,506x = 388,099,096,576
  5. Step 5: Solve for x
    x = 388,099,096,576/416,506
  6. Step 6: Final answer
    x = 931,797.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.