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Finding the Third Proportional to 492,135.75 and 759,192.75

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Solution

The third proportional to 492,135.75 and 759,192.75 is: 1,171,167.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,135.75 : 759,192.75 = 759,192.75 : x
  2. Step 2: Convert to fraction form
    492,135.75/759,192.75 = 759,192.75/x
  3. Step 3: Cross multiply
    492,135.75x = 759,192.75 × 759,192.75
  4. Step 4: Simplify right side
    492,135.75x = 576,373,631,652.56
  5. Step 5: Solve for x
    x = 576,373,631,652.56/492,135.75
  6. Step 6: Final answer
    x = 1,171,167.98

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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.