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Finding the Third Proportional to 339,402.66 and 503,232.75

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Solution

The third proportional to 339,402.66 and 503,232.75 is: 746,143.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,402.66 : 503,232.75 = 503,232.75 : x
  2. Step 2: Convert to fraction form
    339,402.66/503,232.75 = 503,232.75/x
  3. Step 3: Cross multiply
    339,402.66x = 503,232.75 × 503,232.75
  4. Step 4: Simplify right side
    339,402.66x = 253,243,200,672.56
  5. Step 5: Solve for x
    x = 253,243,200,672.56/339,402.66
  6. Step 6: Final answer
    x = 746,143.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.