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Finding the Third Proportional to 381,048 and 832,078.50

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Solution

The third proportional to 381,048 and 832,078.50 is: 1,816,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,048 : 832,078.50 = 832,078.50 : x
  2. Step 2: Convert to fraction form
    381,048/832,078.50 = 832,078.50/x
  3. Step 3: Cross multiply
    381,048x = 832,078.50 × 832,078.50
  4. Step 4: Simplify right side
    381,048x = 692,354,630,162.25
  5. Step 5: Solve for x
    x = 692,354,630,162.25/381,048
  6. Step 6: Final answer
    x = 1,816,974.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.