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Finding the Third Proportional to 339,402.38 and 503,231.63

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Solution

The third proportional to 339,402.38 and 503,231.63 is: 746,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,402.38 : 503,231.63 = 503,231.63 : x
  2. Step 2: Convert to fraction form
    339,402.38/503,231.63 = 503,231.63/x
  3. Step 3: Cross multiply
    339,402.38x = 503,231.63 × 503,231.63
  4. Step 4: Simplify right side
    339,402.38x = 253,242,068,400.14
  5. Step 5: Solve for x
    x = 253,242,068,400.14/339,402.38
  6. Step 6: Final answer
    x = 746,141.12

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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.