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Finding the Third Proportional to 231,634 and 503,120

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Solution

The third proportional to 231,634 and 503,120 is: 1,092,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,634 : 503,120 = 503,120 : x
  2. Step 2: Convert to fraction form
    231,634/503,120 = 503,120/x
  3. Step 3: Cross multiply
    231,634x = 503,120 × 503,120
  4. Step 4: Simplify right side
    231,634x = 253,129,734,400
  5. Step 5: Solve for x
    x = 253,129,734,400/231,634
  6. Step 6: Final answer
    x = 1,092,800.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.