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Finding the Third Proportional to 230,960 and 480,064

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Solution

The third proportional to 230,960 and 480,064 is: 997,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,960 : 480,064 = 480,064 : x
  2. Step 2: Convert to fraction form
    230,960/480,064 = 480,064/x
  3. Step 3: Cross multiply
    230,960x = 480,064 × 480,064
  4. Step 4: Simplify right side
    230,960x = 230,461,444,096
  5. Step 5: Solve for x
    x = 230,461,444,096/230,960
  6. Step 6: Final answer
    x = 997,841.38

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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.