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Finding the Third Proportional to 257,016 and 556,932

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Solution

The third proportional to 257,016 and 556,932 is: 1,206,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,016 : 556,932 = 556,932 : x
  2. Step 2: Convert to fraction form
    257,016/556,932 = 556,932/x
  3. Step 3: Cross multiply
    257,016x = 556,932 × 556,932
  4. Step 4: Simplify right side
    257,016x = 310,173,252,624
  5. Step 5: Solve for x
    x = 310,173,252,624/257,016
  6. Step 6: Final answer
    x = 1,206,824.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.