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Finding the Third Proportional to 333,218.81 and 476,163.56

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Solution

The third proportional to 333,218.81 and 476,163.56 is: 680,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,218.81 : 476,163.56 = 476,163.56 : x
  2. Step 2: Convert to fraction form
    333,218.81/476,163.56 = 476,163.56/x
  3. Step 3: Cross multiply
    333,218.81x = 476,163.56 × 476,163.56
  4. Step 4: Simplify right side
    333,218.81x = 226,731,738,252.69
  5. Step 5: Solve for x
    x = 226,731,738,252.69/333,218.81
  6. Step 6: Final answer
    x = 680,428.98

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Why These Related Problems?

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