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Finding the Third Proportional to 257,086 and 553,645

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Solution

The third proportional to 257,086 and 553,645 is: 1,192,296.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,086 : 553,645 = 553,645 : x
  2. Step 2: Convert to fraction form
    257,086/553,645 = 553,645/x
  3. Step 3: Cross multiply
    257,086x = 553,645 × 553,645
  4. Step 4: Simplify right side
    257,086x = 306,522,786,025
  5. Step 5: Solve for x
    x = 306,522,786,025/257,086
  6. Step 6: Final answer
    x = 1,192,296.69

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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.