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Finding the Third Proportional to 283,872 and 473,096

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Solution

The third proportional to 283,872 and 473,096 is: 788,453.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,872 : 473,096 = 473,096 : x
  2. Step 2: Convert to fraction form
    283,872/473,096 = 473,096/x
  3. Step 3: Cross multiply
    283,872x = 473,096 × 473,096
  4. Step 4: Simplify right side
    283,872x = 223,819,825,216
  5. Step 5: Solve for x
    x = 223,819,825,216/283,872
  6. Step 6: Final answer
    x = 788,453.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.