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Finding the Third Proportional to 241,296 and 375,732

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Solution

The third proportional to 241,296 and 375,732 is: 585,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,296 : 375,732 = 375,732 : x
  2. Step 2: Convert to fraction form
    241,296/375,732 = 375,732/x
  3. Step 3: Cross multiply
    241,296x = 375,732 × 375,732
  4. Step 4: Simplify right side
    241,296x = 141,174,535,824
  5. Step 5: Solve for x
    x = 141,174,535,824/241,296
  6. Step 6: Final answer
    x = 585,067.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.