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Finding the Third Proportional to 301,714.88 and 628,230.94

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Solution

The third proportional to 301,714.88 and 628,230.94 is: 1,308,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,714.88 : 628,230.94 = 628,230.94 : x
  2. Step 2: Convert to fraction form
    301,714.88/628,230.94 = 628,230.94/x
  3. Step 3: Cross multiply
    301,714.88x = 628,230.94 × 628,230.94
  4. Step 4: Simplify right side
    301,714.88x = 394,674,110,832.13
  5. Step 5: Solve for x
    x = 394,674,110,832.13/301,714.88
  6. Step 6: Final answer
    x = 1,308,102.93

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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.