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Finding the Third Proportional to 339,401.81 and 503,231.06

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Solution

The third proportional to 339,401.81 and 503,231.06 is: 746,140.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,401.81 : 503,231.06 = 503,231.06 : x
  2. Step 2: Convert to fraction form
    339,401.81/503,231.06 = 503,231.06/x
  3. Step 3: Cross multiply
    339,401.81x = 503,231.06 × 503,231.06
  4. Step 4: Simplify right side
    339,401.81x = 253,241,502,264.88
  5. Step 5: Solve for x
    x = 253,241,502,264.88/339,401.81
  6. Step 6: Final answer
    x = 746,140.69

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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.