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Finding the Third Proportional to 257,814 and 555,127

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Solution

The third proportional to 257,814 and 555,127 is: 1,195,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,814 : 555,127 = 555,127 : x
  2. Step 2: Convert to fraction form
    257,814/555,127 = 555,127/x
  3. Step 3: Cross multiply
    257,814x = 555,127 × 555,127
  4. Step 4: Simplify right side
    257,814x = 308,165,986,129
  5. Step 5: Solve for x
    x = 308,165,986,129/257,814
  6. Step 6: Final answer
    x = 1,195,303.54

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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.