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Finding the Third Proportional to 257,922 and 568,152

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Solution

The third proportional to 257,922 and 568,152 is: 1,251,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,922 : 568,152 = 568,152 : x
  2. Step 2: Convert to fraction form
    257,922/568,152 = 568,152/x
  3. Step 3: Cross multiply
    257,922x = 568,152 × 568,152
  4. Step 4: Simplify right side
    257,922x = 322,796,695,104
  5. Step 5: Solve for x
    x = 322,796,695,104/257,922
  6. Step 6: Final answer
    x = 1,251,528.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.