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Finding the Third Proportional to 384,057.70 and 841,584.94

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Solution

The third proportional to 384,057.70 and 841,584.94 is: 1,844,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,057.70 : 841,584.94 = 841,584.94 : x
  2. Step 2: Convert to fraction form
    384,057.70/841,584.94 = 841,584.94/x
  3. Step 3: Cross multiply
    384,057.70x = 841,584.94 × 841,584.94
  4. Step 4: Simplify right side
    384,057.70x = 708,265,207,026.88
  5. Step 5: Solve for x
    x = 708,265,207,026.88/384,057.70
  6. Step 6: Final answer
    x = 1,844,163.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.