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Finding the Third Proportional to 283,672 and 433,042

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Solution

The third proportional to 283,672 and 433,042 is: 661,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,672 : 433,042 = 433,042 : x
  2. Step 2: Convert to fraction form
    283,672/433,042 = 433,042/x
  3. Step 3: Cross multiply
    283,672x = 433,042 × 433,042
  4. Step 4: Simplify right side
    283,672x = 187,525,373,764
  5. Step 5: Solve for x
    x = 187,525,373,764/283,672
  6. Step 6: Final answer
    x = 661,064.09

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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.