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Finding the Third Proportional to 241,554 and 354,945

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Solution

The third proportional to 241,554 and 354,945 is: 521,564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,554 : 354,945 = 354,945 : x
  2. Step 2: Convert to fraction form
    241,554/354,945 = 354,945/x
  3. Step 3: Cross multiply
    241,554x = 354,945 × 354,945
  4. Step 4: Simplify right side
    241,554x = 125,985,953,025
  5. Step 5: Solve for x
    x = 125,985,953,025/241,554
  6. Step 6: Final answer
    x = 521,564.34

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.