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Finding the Third Proportional to 492,096 and 738,142

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Solution

The third proportional to 492,096 and 738,142 is: 1,107,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,096 : 738,142 = 738,142 : x
  2. Step 2: Convert to fraction form
    492,096/738,142 = 738,142/x
  3. Step 3: Cross multiply
    492,096x = 738,142 × 738,142
  4. Step 4: Simplify right side
    492,096x = 544,853,612,164
  5. Step 5: Solve for x
    x = 544,853,612,164/492,096
  6. Step 6: Final answer
    x = 1,107,210.00

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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.