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Finding the Third Proportional to 458,133 and 699,049

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Solution

The third proportional to 458,133 and 699,049 is: 1,066,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,133 : 699,049 = 699,049 : x
  2. Step 2: Convert to fraction form
    458,133/699,049 = 699,049/x
  3. Step 3: Cross multiply
    458,133x = 699,049 × 699,049
  4. Step 4: Simplify right side
    458,133x = 488,669,504,401
  5. Step 5: Solve for x
    x = 488,669,504,401/458,133
  6. Step 6: Final answer
    x = 1,066,654.23

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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.