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Finding the Third Proportional to 333,321.75 and 476,313.75

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Solution

The third proportional to 333,321.75 and 476,313.75 is: 680,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,321.75 : 476,313.75 = 476,313.75 : x
  2. Step 2: Convert to fraction form
    333,321.75/476,313.75 = 476,313.75/x
  3. Step 3: Cross multiply
    333,321.75x = 476,313.75 × 476,313.75
  4. Step 4: Simplify right side
    333,321.75x = 226,874,788,439.06
  5. Step 5: Solve for x
    x = 226,874,788,439.06/333,321.75
  6. Step 6: Final answer
    x = 680,648.02

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.