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Finding the Third Proportional to 301,714.50 and 628,456.50

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Solution

The third proportional to 301,714.50 and 628,456.50 is: 1,309,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,714.50 : 628,456.50 = 628,456.50 : x
  2. Step 2: Convert to fraction form
    301,714.50/628,456.50 = 628,456.50/x
  3. Step 3: Cross multiply
    301,714.50x = 628,456.50 × 628,456.50
  4. Step 4: Simplify right side
    301,714.50x = 394,957,572,392.25
  5. Step 5: Solve for x
    x = 394,957,572,392.25/301,714.50
  6. Step 6: Final answer
    x = 1,309,044.05

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