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Finding the Third Proportional to 325,743 and 469,926

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Solution

The third proportional to 325,743 and 469,926 is: 677,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,743 : 469,926 = 469,926 : x
  2. Step 2: Convert to fraction form
    325,743/469,926 = 469,926/x
  3. Step 3: Cross multiply
    325,743x = 469,926 × 469,926
  4. Step 4: Simplify right side
    325,743x = 220,830,445,476
  5. Step 5: Solve for x
    x = 220,830,445,476/325,743
  6. Step 6: Final answer
    x = 677,928.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.