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Finding the Third Proportional to 260,953 and 399,855

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Solution

The third proportional to 260,953 and 399,855 is: 612,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,953 : 399,855 = 399,855 : x
  2. Step 2: Convert to fraction form
    260,953/399,855 = 399,855/x
  3. Step 3: Cross multiply
    260,953x = 399,855 × 399,855
  4. Step 4: Simplify right side
    260,953x = 159,884,021,025
  5. Step 5: Solve for x
    x = 159,884,021,025/260,953
  6. Step 6: Final answer
    x = 612,692.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.