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Finding the Third Proportional to 257,926 and 566,907

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Solution

The third proportional to 257,926 and 566,907 is: 1,246,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,926 : 566,907 = 566,907 : x
  2. Step 2: Convert to fraction form
    257,926/566,907 = 566,907/x
  3. Step 3: Cross multiply
    257,926x = 566,907 × 566,907
  4. Step 4: Simplify right side
    257,926x = 321,383,546,649
  5. Step 5: Solve for x
    x = 321,383,546,649/257,926
  6. Step 6: Final answer
    x = 1,246,030.05

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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.