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Finding the Third Proportional to 580,308.05 and 1,278,714.09

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Solution

The third proportional to 580,308.05 and 1,278,714.09 is: 2,817,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,308.05 : 1,278,714.09 = 1,278,714.09 : x
  2. Step 2: Convert to fraction form
    580,308.05/1,278,714.09 = 1,278,714.09/x
  3. Step 3: Cross multiply
    580,308.05x = 1,278,714.09 × 1,278,714.09
  4. Step 4: Simplify right side
    580,308.05x = 1,635,109,733,554.88
  5. Step 5: Solve for x
    x = 1,635,109,733,554.88/580,308.05
  6. Step 6: Final answer
    x = 2,817,658.21

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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.