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Finding the Third Proportional to 325,891.69 and 477,171

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Solution

The third proportional to 325,891.69 and 477,171 is: 698,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,891.69 : 477,171 = 477,171 : x
  2. Step 2: Convert to fraction form
    325,891.69/477,171 = 477,171/x
  3. Step 3: Cross multiply
    325,891.69x = 477,171 × 477,171
  4. Step 4: Simplify right side
    325,891.69x = 227,692,163,241
  5. Step 5: Solve for x
    x = 227,692,163,241/325,891.69
  6. Step 6: Final answer
    x = 698,674.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.