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Finding the Third Proportional to 382,276.97 and 823,133.81

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Solution

The third proportional to 382,276.97 and 823,133.81 is: 1,772,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,276.97 : 823,133.81 = 823,133.81 : x
  2. Step 2: Convert to fraction form
    382,276.97/823,133.81 = 823,133.81/x
  3. Step 3: Cross multiply
    382,276.97x = 823,133.81 × 823,133.81
  4. Step 4: Simplify right side
    382,276.97x = 677,549,273,280.79
  5. Step 5: Solve for x
    x = 677,549,273,280.79/382,276.97
  6. Step 6: Final answer
    x = 1,772,404.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.