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Finding the Third Proportional to 490,014 and 757,073.25

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Solution

The third proportional to 490,014 and 757,073.25 is: 1,169,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,014 : 757,073.25 = 757,073.25 : x
  2. Step 2: Convert to fraction form
    490,014/757,073.25 = 757,073.25/x
  3. Step 3: Cross multiply
    490,014x = 757,073.25 × 757,073.25
  4. Step 4: Simplify right side
    490,014x = 573,159,905,865.56
  5. Step 5: Solve for x
    x = 573,159,905,865.56/490,014
  6. Step 6: Final answer
    x = 1,169,680.67

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.