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Finding the Third Proportional to 333,859.50 and 707,447.25

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Solution

The third proportional to 333,859.50 and 707,447.25 is: 1,499,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,859.50 : 707,447.25 = 707,447.25 : x
  2. Step 2: Convert to fraction form
    333,859.50/707,447.25 = 707,447.25/x
  3. Step 3: Cross multiply
    333,859.50x = 707,447.25 × 707,447.25
  4. Step 4: Simplify right side
    333,859.50x = 500,481,611,532.56
  5. Step 5: Solve for x
    x = 500,481,611,532.56/333,859.50
  6. Step 6: Final answer
    x = 1,499,078.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.