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Finding the Third Proportional to 257,719 and 533,116

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Solution

The third proportional to 257,719 and 533,116 is: 1,102,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,719 : 533,116 = 533,116 : x
  2. Step 2: Convert to fraction form
    257,719/533,116 = 533,116/x
  3. Step 3: Cross multiply
    257,719x = 533,116 × 533,116
  4. Step 4: Simplify right side
    257,719x = 284,212,669,456
  5. Step 5: Solve for x
    x = 284,212,669,456/257,719
  6. Step 6: Final answer
    x = 1,102,800.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.