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Finding the Third Proportional to 255,534 and 543,846

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Solution

The third proportional to 255,534 and 543,846 is: 1,157,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,534 : 543,846 = 543,846 : x
  2. Step 2: Convert to fraction form
    255,534/543,846 = 543,846/x
  3. Step 3: Cross multiply
    255,534x = 543,846 × 543,846
  4. Step 4: Simplify right side
    255,534x = 295,768,471,716
  5. Step 5: Solve for x
    x = 295,768,471,716/255,534
  6. Step 6: Final answer
    x = 1,157,452.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.