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Finding the Third Proportional to 332,638 and 512,080

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Solution

The third proportional to 332,638 and 512,080 is: 788,322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,638 : 512,080 = 512,080 : x
  2. Step 2: Convert to fraction form
    332,638/512,080 = 512,080/x
  3. Step 3: Cross multiply
    332,638x = 512,080 × 512,080
  4. Step 4: Simplify right side
    332,638x = 262,225,926,400
  5. Step 5: Solve for x
    x = 262,225,926,400/332,638
  6. Step 6: Final answer
    x = 788,322.22

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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.