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Finding the Third Proportional to 257,244 and 557,256

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Solution

The third proportional to 257,244 and 557,256 is: 1,207,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,244 : 557,256 = 557,256 : x
  2. Step 2: Convert to fraction form
    257,244/557,256 = 557,256/x
  3. Step 3: Cross multiply
    257,244x = 557,256 × 557,256
  4. Step 4: Simplify right side
    257,244x = 310,534,249,536
  5. Step 5: Solve for x
    x = 310,534,249,536/257,244
  6. Step 6: Final answer
    x = 1,207,158.38

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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.