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Finding the Third Proportional to 382,628.25 and 553,119.75

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Solution

The third proportional to 382,628.25 and 553,119.75 is: 799,578.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,628.25 : 553,119.75 = 553,119.75 : x
  2. Step 2: Convert to fraction form
    382,628.25/553,119.75 = 553,119.75/x
  3. Step 3: Cross multiply
    382,628.25x = 553,119.75 × 553,119.75
  4. Step 4: Simplify right side
    382,628.25x = 305,941,457,840.06
  5. Step 5: Solve for x
    x = 305,941,457,840.06/382,628.25
  6. Step 6: Final answer
    x = 799,578.85

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.