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Finding the Third Proportional to 310,800 and 467,064

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Solution

The third proportional to 310,800 and 467,064 is: 701,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,800 : 467,064 = 467,064 : x
  2. Step 2: Convert to fraction form
    310,800/467,064 = 467,064/x
  3. Step 3: Cross multiply
    310,800x = 467,064 × 467,064
  4. Step 4: Simplify right side
    310,800x = 218,148,780,096
  5. Step 5: Solve for x
    x = 218,148,780,096/310,800
  6. Step 6: Final answer
    x = 701,894.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.