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Finding the Third Proportional to 283,668 and 433,035

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Solution

The third proportional to 283,668 and 433,035 is: 661,052.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,668 : 433,035 = 433,035 : x
  2. Step 2: Convert to fraction form
    283,668/433,035 = 433,035/x
  3. Step 3: Cross multiply
    283,668x = 433,035 × 433,035
  4. Step 4: Simplify right side
    283,668x = 187,519,311,225
  5. Step 5: Solve for x
    x = 187,519,311,225/283,668
  6. Step 6: Final answer
    x = 661,052.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.