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Finding the Third Proportional to 384,993 and 927,490.50

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Solution

The third proportional to 384,993 and 927,490.50 is: 2,234,426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,993 : 927,490.50 = 927,490.50 : x
  2. Step 2: Convert to fraction form
    384,993/927,490.50 = 927,490.50/x
  3. Step 3: Cross multiply
    384,993x = 927,490.50 × 927,490.50
  4. Step 4: Simplify right side
    384,993x = 860,238,627,590.25
  5. Step 5: Solve for x
    x = 860,238,627,590.25/384,993
  6. Step 6: Final answer
    x = 2,234,426.67

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.