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Finding the Third Proportional to 301,462.88 and 627,733.41

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Solution

The third proportional to 301,462.88 and 627,733.41 is: 1,307,123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,462.88 : 627,733.41 = 627,733.41 : x
  2. Step 2: Convert to fraction form
    301,462.88/627,733.41 = 627,733.41/x
  3. Step 3: Cross multiply
    301,462.88x = 627,733.41 × 627,733.41
  4. Step 4: Simplify right side
    301,462.88x = 394,049,229,322.23
  5. Step 5: Solve for x
    x = 394,049,229,322.23/301,462.88
  6. Step 6: Final answer
    x = 1,307,123.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.