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Finding the Third Proportional to 252,492 and 543,132

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Solution

The third proportional to 252,492 and 543,132 is: 1,168,323.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,492 : 543,132 = 543,132 : x
  2. Step 2: Convert to fraction form
    252,492/543,132 = 543,132/x
  3. Step 3: Cross multiply
    252,492x = 543,132 × 543,132
  4. Step 4: Simplify right side
    252,492x = 294,992,369,424
  5. Step 5: Solve for x
    x = 294,992,369,424/252,492
  6. Step 6: Final answer
    x = 1,168,323.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.