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Finding the Third Proportional to 318,475.13 and 682,495.88

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Solution

The third proportional to 318,475.13 and 682,495.88 is: 1,462,596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,475.13 : 682,495.88 = 682,495.88 : x
  2. Step 2: Convert to fraction form
    318,475.13/682,495.88 = 682,495.88/x
  3. Step 3: Cross multiply
    318,475.13x = 682,495.88 × 682,495.88
  4. Step 4: Simplify right side
    318,475.13x = 465,800,619,392.02
  5. Step 5: Solve for x
    x = 465,800,619,392.02/318,475.13
  6. Step 6: Final answer
    x = 1,462,596.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.