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Finding the Third Proportional to 253,432 and 550,672

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Solution

The third proportional to 253,432 and 550,672 is: 1,196,532.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,432 : 550,672 = 550,672 : x
  2. Step 2: Convert to fraction form
    253,432/550,672 = 550,672/x
  3. Step 3: Cross multiply
    253,432x = 550,672 × 550,672
  4. Step 4: Simplify right side
    253,432x = 303,239,651,584
  5. Step 5: Solve for x
    x = 303,239,651,584/253,432
  6. Step 6: Final answer
    x = 1,196,532.61

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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.