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Finding the Third Proportional to 241,519 and 354,889

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Solution

The third proportional to 241,519 and 354,889 is: 521,475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,519 : 354,889 = 354,889 : x
  2. Step 2: Convert to fraction form
    241,519/354,889 = 354,889/x
  3. Step 3: Cross multiply
    241,519x = 354,889 × 354,889
  4. Step 4: Simplify right side
    241,519x = 125,946,202,321
  5. Step 5: Solve for x
    x = 125,946,202,321/241,519
  6. Step 6: Final answer
    x = 521,475.34

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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.