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Finding the Third Proportional to 340,819.50 and 738,063

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Solution

The third proportional to 340,819.50 and 738,063 is: 1,598,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,819.50 : 738,063 = 738,063 : x
  2. Step 2: Convert to fraction form
    340,819.50/738,063 = 738,063/x
  3. Step 3: Cross multiply
    340,819.50x = 738,063 × 738,063
  4. Step 4: Simplify right side
    340,819.50x = 544,736,991,969
  5. Step 5: Solve for x
    x = 544,736,991,969/340,819.50
  6. Step 6: Final answer
    x = 1,598,315.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.