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Finding the Third Proportional to 301,730.06 and 628,261.31

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Solution

The third proportional to 301,730.06 and 628,261.31 is: 1,308,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,730.06 : 628,261.31 = 628,261.31 : x
  2. Step 2: Convert to fraction form
    301,730.06/628,261.31 = 628,261.31/x
  3. Step 3: Cross multiply
    301,730.06x = 628,261.31 × 628,261.31
  4. Step 4: Simplify right side
    301,730.06x = 394,712,276,784.22
  5. Step 5: Solve for x
    x = 394,712,276,784.22/301,730.06
  6. Step 6: Final answer
    x = 1,308,163.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.