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Finding the Third Proportional to 257,011 and 556,925

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Solution

The third proportional to 257,011 and 556,925 is: 1,206,817.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,011 : 556,925 = 556,925 : x
  2. Step 2: Convert to fraction form
    257,011/556,925 = 556,925/x
  3. Step 3: Cross multiply
    257,011x = 556,925 × 556,925
  4. Step 4: Simplify right side
    257,011x = 310,165,455,625
  5. Step 5: Solve for x
    x = 310,165,455,625/257,011
  6. Step 6: Final answer
    x = 1,206,817.82

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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.