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Finding the Third Proportional to 301,471.25 and 479,882

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Solution

The third proportional to 301,471.25 and 479,882 is: 763,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,471.25 : 479,882 = 479,882 : x
  2. Step 2: Convert to fraction form
    301,471.25/479,882 = 479,882/x
  3. Step 3: Cross multiply
    301,471.25x = 479,882 × 479,882
  4. Step 4: Simplify right side
    301,471.25x = 230,286,733,924
  5. Step 5: Solve for x
    x = 230,286,733,924/301,471.25
  6. Step 6: Final answer
    x = 763,876.27

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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.