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Finding the Third Proportional to 223,651.13 and 480,674.25

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Solution

The third proportional to 223,651.13 and 480,674.25 is: 1,033,072.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,651.13 : 480,674.25 = 480,674.25 : x
  2. Step 2: Convert to fraction form
    223,651.13/480,674.25 = 480,674.25/x
  3. Step 3: Cross multiply
    223,651.13x = 480,674.25 × 480,674.25
  4. Step 4: Simplify right side
    223,651.13x = 231,047,734,613.06
  5. Step 5: Solve for x
    x = 231,047,734,613.06/223,651.13
  6. Step 6: Final answer
    x = 1,033,072.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.