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Finding the Third Proportional to 428,844 and 628,942

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Solution

The third proportional to 428,844 and 628,942 is: 922,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,844 : 628,942 = 628,942 : x
  2. Step 2: Convert to fraction form
    428,844/628,942 = 628,942/x
  3. Step 3: Cross multiply
    428,844x = 628,942 × 628,942
  4. Step 4: Simplify right side
    428,844x = 395,568,039,364
  5. Step 5: Solve for x
    x = 395,568,039,364/428,844
  6. Step 6: Final answer
    x = 922,405.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.