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Finding the Third Proportional to 380,976 and 837,160.50

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Solution

The third proportional to 380,976 and 837,160.50 is: 1,839,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,976 : 837,160.50 = 837,160.50 : x
  2. Step 2: Convert to fraction form
    380,976/837,160.50 = 837,160.50/x
  3. Step 3: Cross multiply
    380,976x = 837,160.50 × 837,160.50
  4. Step 4: Simplify right side
    380,976x = 700,837,702,760.25
  5. Step 5: Solve for x
    x = 700,837,702,760.25/380,976
  6. Step 6: Final answer
    x = 1,839,584.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.