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Finding the Third Proportional to 241,414 and 354,722

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Solution

The third proportional to 241,414 and 354,722 is: 521,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,414 : 354,722 = 354,722 : x
  2. Step 2: Convert to fraction form
    241,414/354,722 = 354,722/x
  3. Step 3: Cross multiply
    241,414x = 354,722 × 354,722
  4. Step 4: Simplify right side
    241,414x = 125,827,697,284
  5. Step 5: Solve for x
    x = 125,827,697,284/241,414
  6. Step 6: Final answer
    x = 521,211.27

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Why These Related Problems?

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