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Finding the Third Proportional to 241,543 and 328,006

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Solution

The third proportional to 241,543 and 328,006 is: 445,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,543 : 328,006 = 328,006 : x
  2. Step 2: Convert to fraction form
    241,543/328,006 = 328,006/x
  3. Step 3: Cross multiply
    241,543x = 328,006 × 328,006
  4. Step 4: Simplify right side
    241,543x = 107,587,936,036
  5. Step 5: Solve for x
    x = 107,587,936,036/241,543
  6. Step 6: Final answer
    x = 445,419.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.