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Finding the Third Proportional to 490,861.69 and 720,133.03

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Solution

The third proportional to 490,861.69 and 720,133.03 is: 1,056,492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,861.69 : 720,133.03 = 720,133.03 : x
  2. Step 2: Convert to fraction form
    490,861.69/720,133.03 = 720,133.03/x
  3. Step 3: Cross multiply
    490,861.69x = 720,133.03 × 720,133.03
  4. Step 4: Simplify right side
    490,861.69x = 518,591,582,697.31
  5. Step 5: Solve for x
    x = 518,591,582,697.31/490,861.69
  6. Step 6: Final answer
    x = 1,056,492.28

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.