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Finding the Third Proportional to 241,911.56 and 512,663.63

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Solution

The third proportional to 241,911.56 and 512,663.63 is: 1,086,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,911.56 : 512,663.63 = 512,663.63 : x
  2. Step 2: Convert to fraction form
    241,911.56/512,663.63 = 512,663.63/x
  3. Step 3: Cross multiply
    241,911.56x = 512,663.63 × 512,663.63
  4. Step 4: Simplify right side
    241,911.56x = 262,823,992,398.14
  5. Step 5: Solve for x
    x = 262,823,992,398.14/241,911.56
  6. Step 6: Final answer
    x = 1,086,446.59

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