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Finding the Third Proportional to 241,382 and 337,627

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Solution

The third proportional to 241,382 and 337,627 is: 472,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,382 : 337,627 = 337,627 : x
  2. Step 2: Convert to fraction form
    241,382/337,627 = 337,627/x
  3. Step 3: Cross multiply
    241,382x = 337,627 × 337,627
  4. Step 4: Simplify right side
    241,382x = 113,991,991,129
  5. Step 5: Solve for x
    x = 113,991,991,129/241,382
  6. Step 6: Final answer
    x = 472,247.27

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.