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Finding the Third Proportional to 245,475.38 and 380,982.75

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Solution

The third proportional to 245,475.38 and 380,982.75 is: 591,292.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,475.38 : 380,982.75 = 380,982.75 : x
  2. Step 2: Convert to fraction form
    245,475.38/380,982.75 = 380,982.75/x
  3. Step 3: Cross multiply
    245,475.38x = 380,982.75 × 380,982.75
  4. Step 4: Simplify right side
    245,475.38x = 145,147,855,797.56
  5. Step 5: Solve for x
    x = 145,147,855,797.56/245,475.38
  6. Step 6: Final answer
    x = 591,292.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.