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Finding the Third Proportional to 257,816 and 555,126

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Solution

The third proportional to 257,816 and 555,126 is: 1,195,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,816 : 555,126 = 555,126 : x
  2. Step 2: Convert to fraction form
    257,816/555,126 = 555,126/x
  3. Step 3: Cross multiply
    257,816x = 555,126 × 555,126
  4. Step 4: Simplify right side
    257,816x = 308,164,875,876
  5. Step 5: Solve for x
    x = 308,164,875,876/257,816
  6. Step 6: Final answer
    x = 1,195,289.96

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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.