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Finding the Third Proportional to 405,941.63 and 618,487.31

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Solution

The third proportional to 405,941.63 and 618,487.31 is: 942,319.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,941.63 : 618,487.31 = 618,487.31 : x
  2. Step 2: Convert to fraction form
    405,941.63/618,487.31 = 618,487.31/x
  3. Step 3: Cross multiply
    405,941.63x = 618,487.31 × 618,487.31
  4. Step 4: Simplify right side
    405,941.63x = 382,526,555,723.47
  5. Step 5: Solve for x
    x = 382,526,555,723.47/405,941.63
  6. Step 6: Final answer
    x = 942,319.12

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.