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Finding the Third Proportional to 231,984 and 506,250

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Solution

The third proportional to 231,984 and 506,250 is: 1,104,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,984 : 506,250 = 506,250 : x
  2. Step 2: Convert to fraction form
    231,984/506,250 = 506,250/x
  3. Step 3: Cross multiply
    231,984x = 506,250 × 506,250
  4. Step 4: Simplify right side
    231,984x = 256,289,062,500
  5. Step 5: Solve for x
    x = 256,289,062,500/231,984
  6. Step 6: Final answer
    x = 1,104,770.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.