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Finding the Third Proportional to 339,412.50 and 503,241.75

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Solution

The third proportional to 339,412.50 and 503,241.75 is: 746,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,412.50 : 503,241.75 = 503,241.75 : x
  2. Step 2: Convert to fraction form
    339,412.50/503,241.75 = 503,241.75/x
  3. Step 3: Cross multiply
    339,412.50x = 503,241.75 × 503,241.75
  4. Step 4: Simplify right side
    339,412.50x = 253,252,258,943.06
  5. Step 5: Solve for x
    x = 253,252,258,943.06/339,412.50
  6. Step 6: Final answer
    x = 746,148.89

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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.