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Finding the Third Proportional to 241,275.38 and 476,495.44

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Solution

The third proportional to 241,275.38 and 476,495.44 is: 941,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,275.38 : 476,495.44 = 476,495.44 : x
  2. Step 2: Convert to fraction form
    241,275.38/476,495.44 = 476,495.44/x
  3. Step 3: Cross multiply
    241,275.38x = 476,495.44 × 476,495.44
  4. Step 4: Simplify right side
    241,275.38x = 227,047,901,958.32
  5. Step 5: Solve for x
    x = 227,047,901,958.32/241,275.38
  6. Step 6: Final answer
    x = 941,032.22

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.