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Finding the Third Proportional to 293,000 and 631,504

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Solution

The third proportional to 293,000 and 631,504 is: 1,361,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,000 : 631,504 = 631,504 : x
  2. Step 2: Convert to fraction form
    293,000/631,504 = 631,504/x
  3. Step 3: Cross multiply
    293,000x = 631,504 × 631,504
  4. Step 4: Simplify right side
    293,000x = 398,797,302,016
  5. Step 5: Solve for x
    x = 398,797,302,016/293,000
  6. Step 6: Final answer
    x = 1,361,082.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.