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Finding the Third Proportional to 307,495.50 and 675,529.50

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Solution

The third proportional to 307,495.50 and 675,529.50 is: 1,484,054.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,495.50 : 675,529.50 = 675,529.50 : x
  2. Step 2: Convert to fraction form
    307,495.50/675,529.50 = 675,529.50/x
  3. Step 3: Cross multiply
    307,495.50x = 675,529.50 × 675,529.50
  4. Step 4: Simplify right side
    307,495.50x = 456,340,105,370.25
  5. Step 5: Solve for x
    x = 456,340,105,370.25/307,495.50
  6. Step 6: Final answer
    x = 1,484,054.58

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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.