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Finding the Third Proportional to 405,326 and 623,925

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Solution

The third proportional to 405,326 and 623,925 is: 960,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,326 : 623,925 = 623,925 : x
  2. Step 2: Convert to fraction form
    405,326/623,925 = 623,925/x
  3. Step 3: Cross multiply
    405,326x = 623,925 × 623,925
  4. Step 4: Simplify right side
    405,326x = 389,282,405,625
  5. Step 5: Solve for x
    x = 389,282,405,625/405,326
  6. Step 6: Final answer
    x = 960,418.05

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.