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Finding the Third Proportional to 252,496 and 543,140

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Solution

The third proportional to 252,496 and 543,140 is: 1,168,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,496 : 543,140 = 543,140 : x
  2. Step 2: Convert to fraction form
    252,496/543,140 = 543,140/x
  3. Step 3: Cross multiply
    252,496x = 543,140 × 543,140
  4. Step 4: Simplify right side
    252,496x = 295,001,059,600
  5. Step 5: Solve for x
    x = 295,001,059,600/252,496
  6. Step 6: Final answer
    x = 1,168,339.54

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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.