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Finding the Third Proportional to 488,745 and 682,788

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Solution

The third proportional to 488,745 and 682,788 is: 953,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,745 : 682,788 = 682,788 : x
  2. Step 2: Convert to fraction form
    488,745/682,788 = 682,788/x
  3. Step 3: Cross multiply
    488,745x = 682,788 × 682,788
  4. Step 4: Simplify right side
    488,745x = 466,199,452,944
  5. Step 5: Solve for x
    x = 466,199,452,944/488,745
  6. Step 6: Final answer
    x = 953,870.53

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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.