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Finding the Third Proportional to 226,186.17 and 470,984.63

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Solution

The third proportional to 226,186.17 and 470,984.63 is: 980,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,186.17 : 470,984.63 = 470,984.63 : x
  2. Step 2: Convert to fraction form
    226,186.17/470,984.63 = 470,984.63/x
  3. Step 3: Cross multiply
    226,186.17x = 470,984.63 × 470,984.63
  4. Step 4: Simplify right side
    226,186.17x = 221,826,516,986.39
  5. Step 5: Solve for x
    x = 221,826,516,986.39/226,186.17
  6. Step 6: Final answer
    x = 980,725.37

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.