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Finding the Third Proportional to 231,284 and 504,479

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Solution

The third proportional to 231,284 and 504,479 is: 1,100,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,284 : 504,479 = 504,479 : x
  2. Step 2: Convert to fraction form
    231,284/504,479 = 504,479/x
  3. Step 3: Cross multiply
    231,284x = 504,479 × 504,479
  4. Step 4: Simplify right side
    231,284x = 254,499,061,441
  5. Step 5: Solve for x
    x = 254,499,061,441/231,284
  6. Step 6: Final answer
    x = 1,100,374.70

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Why These Related Problems?

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