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Finding the Third Proportional to 307,554.75 and 665,652.75

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Solution

The third proportional to 307,554.75 and 665,652.75 is: 1,440,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,554.75 : 665,652.75 = 665,652.75 : x
  2. Step 2: Convert to fraction form
    307,554.75/665,652.75 = 665,652.75/x
  3. Step 3: Cross multiply
    307,554.75x = 665,652.75 × 665,652.75
  4. Step 4: Simplify right side
    307,554.75x = 443,093,583,582.56
  5. Step 5: Solve for x
    x = 443,093,583,582.56/307,554.75
  6. Step 6: Final answer
    x = 1,440,698.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.