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Finding the Third Proportional to 384,171 and 555,015

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Solution

The third proportional to 384,171 and 555,015 is: 801,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,171 : 555,015 = 555,015 : x
  2. Step 2: Convert to fraction form
    384,171/555,015 = 555,015/x
  3. Step 3: Cross multiply
    384,171x = 555,015 × 555,015
  4. Step 4: Simplify right side
    384,171x = 308,041,650,225
  5. Step 5: Solve for x
    x = 308,041,650,225/384,171
  6. Step 6: Final answer
    x = 801,834.73

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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.