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Finding the Third Proportional to 339,000.19 and 512,871.75

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Solution

The third proportional to 339,000.19 and 512,871.75 is: 775,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,000.19 : 512,871.75 = 512,871.75 : x
  2. Step 2: Convert to fraction form
    339,000.19/512,871.75 = 512,871.75/x
  3. Step 3: Cross multiply
    339,000.19x = 512,871.75 × 512,871.75
  4. Step 4: Simplify right side
    339,000.19x = 263,037,431,948.06
  5. Step 5: Solve for x
    x = 263,037,431,948.06/339,000.19
  6. Step 6: Final answer
    x = 775,921.20

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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.