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Finding the Third Proportional to 301,920 and 408,600

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Solution

The third proportional to 301,920 and 408,600 is: 552,974.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,920 : 408,600 = 408,600 : x
  2. Step 2: Convert to fraction form
    301,920/408,600 = 408,600/x
  3. Step 3: Cross multiply
    301,920x = 408,600 × 408,600
  4. Step 4: Simplify right side
    301,920x = 166,953,960,000
  5. Step 5: Solve for x
    x = 166,953,960,000/301,920
  6. Step 6: Final answer
    x = 552,974.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.