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Finding the Third Proportional to 257,025 and 556,956

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Solution

The third proportional to 257,025 and 556,956 is: 1,206,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,025 : 556,956 = 556,956 : x
  2. Step 2: Convert to fraction form
    257,025/556,956 = 556,956/x
  3. Step 3: Cross multiply
    257,025x = 556,956 × 556,956
  4. Step 4: Simplify right side
    257,025x = 310,199,985,936
  5. Step 5: Solve for x
    x = 310,199,985,936/257,025
  6. Step 6: Final answer
    x = 1,206,886.43

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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.