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Finding the Third Proportional to 257,676.75 and 389,337.75

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Solution

The third proportional to 257,676.75 and 389,337.75 is: 588,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,676.75 : 389,337.75 = 389,337.75 : x
  2. Step 2: Convert to fraction form
    257,676.75/389,337.75 = 389,337.75/x
  3. Step 3: Cross multiply
    257,676.75x = 389,337.75 × 389,337.75
  4. Step 4: Simplify right side
    257,676.75x = 151,583,883,575.06
  5. Step 5: Solve for x
    x = 151,583,883,575.06/257,676.75
  6. Step 6: Final answer
    x = 588,271.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.