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Finding the Third Proportional to 241,544 and 348,384

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Solution

The third proportional to 241,544 and 348,384 is: 502,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,544 : 348,384 = 348,384 : x
  2. Step 2: Convert to fraction form
    241,544/348,384 = 348,384/x
  3. Step 3: Cross multiply
    241,544x = 348,384 × 348,384
  4. Step 4: Simplify right side
    241,544x = 121,371,411,456
  5. Step 5: Solve for x
    x = 121,371,411,456/241,544
  6. Step 6: Final answer
    x = 502,481.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.