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Finding the Third Proportional to 370,720 and 815,168

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Solution

The third proportional to 370,720 and 815,168 is: 1,792,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,720 : 815,168 = 815,168 : x
  2. Step 2: Convert to fraction form
    370,720/815,168 = 815,168/x
  3. Step 3: Cross multiply
    370,720x = 815,168 × 815,168
  4. Step 4: Simplify right side
    370,720x = 664,498,868,224
  5. Step 5: Solve for x
    x = 664,498,868,224/370,720
  6. Step 6: Final answer
    x = 1,792,454.87

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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.