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Finding the Third Proportional to 505,450.75 and 758,414

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Solution

The third proportional to 505,450.75 and 758,414 is: 1,137,977.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,450.75 : 758,414 = 758,414 : x
  2. Step 2: Convert to fraction form
    505,450.75/758,414 = 758,414/x
  3. Step 3: Cross multiply
    505,450.75x = 758,414 × 758,414
  4. Step 4: Simplify right side
    505,450.75x = 575,191,795,396
  5. Step 5: Solve for x
    x = 575,191,795,396/505,450.75
  6. Step 6: Final answer
    x = 1,137,977.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.