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Finding the Third Proportional to 252,672 and 544,512

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Solution

The third proportional to 252,672 and 544,512 is: 1,173,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,672 : 544,512 = 544,512 : x
  2. Step 2: Convert to fraction form
    252,672/544,512 = 544,512/x
  3. Step 3: Cross multiply
    252,672x = 544,512 × 544,512
  4. Step 4: Simplify right side
    252,672x = 296,493,318,144
  5. Step 5: Solve for x
    x = 296,493,318,144/252,672
  6. Step 6: Final answer
    x = 1,173,431.64

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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.