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Finding the Third Proportional to 260,907 and 415,032

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Solution

The third proportional to 260,907 and 415,032 is: 660,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,907 : 415,032 = 415,032 : x
  2. Step 2: Convert to fraction form
    260,907/415,032 = 415,032/x
  3. Step 3: Cross multiply
    260,907x = 415,032 × 415,032
  4. Step 4: Simplify right side
    260,907x = 172,251,561,024
  5. Step 5: Solve for x
    x = 172,251,561,024/260,907
  6. Step 6: Final answer
    x = 660,202.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.