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Finding the Third Proportional to 305,130.75 and 664,506.75

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Solution

The third proportional to 305,130.75 and 664,506.75 is: 1,447,147.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,130.75 : 664,506.75 = 664,506.75 : x
  2. Step 2: Convert to fraction form
    305,130.75/664,506.75 = 664,506.75/x
  3. Step 3: Cross multiply
    305,130.75x = 664,506.75 × 664,506.75
  4. Step 4: Simplify right side
    305,130.75x = 441,569,220,795.56
  5. Step 5: Solve for x
    x = 441,569,220,795.56/305,130.75
  6. Step 6: Final answer
    x = 1,447,147.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.