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Finding the Third Proportional to 264,652 and 624,238

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Solution

The third proportional to 264,652 and 624,238 is: 1,472,398.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,652 : 624,238 = 624,238 : x
  2. Step 2: Convert to fraction form
    264,652/624,238 = 624,238/x
  3. Step 3: Cross multiply
    264,652x = 624,238 × 624,238
  4. Step 4: Simplify right side
    264,652x = 389,673,080,644
  5. Step 5: Solve for x
    x = 389,673,080,644/264,652
  6. Step 6: Final answer
    x = 1,472,398.02

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.