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Finding the Third Proportional to 469,771 and 726,245

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Solution

The third proportional to 469,771 and 726,245 is: 1,122,742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,771 : 726,245 = 726,245 : x
  2. Step 2: Convert to fraction form
    469,771/726,245 = 726,245/x
  3. Step 3: Cross multiply
    469,771x = 726,245 × 726,245
  4. Step 4: Simplify right side
    469,771x = 527,431,800,025
  5. Step 5: Solve for x
    x = 527,431,800,025/469,771
  6. Step 6: Final answer
    x = 1,122,742.36

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Why These Related Problems?

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