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Finding the Third Proportional to 230,431.13 and 470,010.94

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Solution

The third proportional to 230,431.13 and 470,010.94 is: 958,682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,431.13 : 470,010.94 = 470,010.94 : x
  2. Step 2: Convert to fraction form
    230,431.13/470,010.94 = 470,010.94/x
  3. Step 3: Cross multiply
    230,431.13x = 470,010.94 × 470,010.94
  4. Step 4: Simplify right side
    230,431.13x = 220,910,281,369.63
  5. Step 5: Solve for x
    x = 220,910,281,369.63/230,431.13
  6. Step 6: Final answer
    x = 958,682.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.