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Finding the Third Proportional to 332,628 and 512,064

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Solution

The third proportional to 332,628 and 512,064 is: 788,296.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,628 : 512,064 = 512,064 : x
  2. Step 2: Convert to fraction form
    332,628/512,064 = 512,064/x
  3. Step 3: Cross multiply
    332,628x = 512,064 × 512,064
  4. Step 4: Simplify right side
    332,628x = 262,209,540,096
  5. Step 5: Solve for x
    x = 262,209,540,096/332,628
  6. Step 6: Final answer
    x = 788,296.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.