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Finding the Third Proportional to 407,718 and 622,228

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Solution

The third proportional to 407,718 and 622,228 is: 949,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,718 : 622,228 = 622,228 : x
  2. Step 2: Convert to fraction form
    407,718/622,228 = 622,228/x
  3. Step 3: Cross multiply
    407,718x = 622,228 × 622,228
  4. Step 4: Simplify right side
    407,718x = 387,167,683,984
  5. Step 5: Solve for x
    x = 387,167,683,984/407,718
  6. Step 6: Final answer
    x = 949,596.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.