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Finding the Third Proportional to 490,832 and 720,088

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Solution

The third proportional to 490,832 and 720,088 is: 1,056,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,832 : 720,088 = 720,088 : x
  2. Step 2: Convert to fraction form
    490,832/720,088 = 720,088/x
  3. Step 3: Cross multiply
    490,832x = 720,088 × 720,088
  4. Step 4: Simplify right side
    490,832x = 518,526,727,744
  5. Step 5: Solve for x
    x = 518,526,727,744/490,832
  6. Step 6: Final answer
    x = 1,056,424.05

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Why These Related Problems?

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