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Finding the Third Proportional to 226,360 and 479,702

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Solution

The third proportional to 226,360 and 479,702 is: 1,016,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,360 : 479,702 = 479,702 : x
  2. Step 2: Convert to fraction form
    226,360/479,702 = 479,702/x
  3. Step 3: Cross multiply
    226,360x = 479,702 × 479,702
  4. Step 4: Simplify right side
    226,360x = 230,114,008,804
  5. Step 5: Solve for x
    x = 230,114,008,804/226,360
  6. Step 6: Final answer
    x = 1,016,584.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.