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Finding the Third Proportional to 351,636 and 774,984

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Solution

The third proportional to 351,636 and 774,984 is: 1,708,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,636 : 774,984 = 774,984 : x
  2. Step 2: Convert to fraction form
    351,636/774,984 = 774,984/x
  3. Step 3: Cross multiply
    351,636x = 774,984 × 774,984
  4. Step 4: Simplify right side
    351,636x = 600,600,200,256
  5. Step 5: Solve for x
    x = 600,600,200,256/351,636
  6. Step 6: Final answer
    x = 1,708,016.81

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.