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Finding the Third Proportional to 401,922 and 622,068

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Solution

The third proportional to 401,922 and 622,068 is: 962,795.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,922 : 622,068 = 622,068 : x
  2. Step 2: Convert to fraction form
    401,922/622,068 = 622,068/x
  3. Step 3: Cross multiply
    401,922x = 622,068 × 622,068
  4. Step 4: Simplify right side
    401,922x = 386,968,596,624
  5. Step 5: Solve for x
    x = 386,968,596,624/401,922
  6. Step 6: Final answer
    x = 962,795.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.