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Finding the Third Proportional to 254,734 and 534,253

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Solution

The third proportional to 254,734 and 534,253 is: 1,120,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,734 : 534,253 = 534,253 : x
  2. Step 2: Convert to fraction form
    254,734/534,253 = 534,253/x
  3. Step 3: Cross multiply
    254,734x = 534,253 × 534,253
  4. Step 4: Simplify right side
    254,734x = 285,426,268,009
  5. Step 5: Solve for x
    x = 285,426,268,009/254,734
  6. Step 6: Final answer
    x = 1,120,487.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.