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Finding the Third Proportional to 383,112 and 805,925

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Solution

The third proportional to 383,112 and 805,925 is: 1,695,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,112 : 805,925 = 805,925 : x
  2. Step 2: Convert to fraction form
    383,112/805,925 = 805,925/x
  3. Step 3: Cross multiply
    383,112x = 805,925 × 805,925
  4. Step 4: Simplify right side
    383,112x = 649,515,105,625
  5. Step 5: Solve for x
    x = 649,515,105,625/383,112
  6. Step 6: Final answer
    x = 1,695,366.12

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.