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Finding the Third Proportional to 307,500.75 and 675,537.75

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Solution

The third proportional to 307,500.75 and 675,537.75 is: 1,484,065.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,500.75 : 675,537.75 = 675,537.75 : x
  2. Step 2: Convert to fraction form
    307,500.75/675,537.75 = 675,537.75/x
  3. Step 3: Cross multiply
    307,500.75x = 675,537.75 × 675,537.75
  4. Step 4: Simplify right side
    307,500.75x = 456,351,251,675.06
  5. Step 5: Solve for x
    x = 456,351,251,675.06/307,500.75
  6. Step 6: Final answer
    x = 1,484,065.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.