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Finding the Third Proportional to 488,797 and 682,863

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Solution

The third proportional to 488,797 and 682,863 is: 953,978.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,797 : 682,863 = 682,863 : x
  2. Step 2: Convert to fraction form
    488,797/682,863 = 682,863/x
  3. Step 3: Cross multiply
    488,797x = 682,863 × 682,863
  4. Step 4: Simplify right side
    488,797x = 466,301,876,769
  5. Step 5: Solve for x
    x = 466,301,876,769/488,797
  6. Step 6: Final answer
    x = 953,978.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.