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Finding the Third Proportional to 255,986 and 568,788

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Solution

The third proportional to 255,986 and 568,788 is: 1,263,818.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,986 : 568,788 = 568,788 : x
  2. Step 2: Convert to fraction form
    255,986/568,788 = 568,788/x
  3. Step 3: Cross multiply
    255,986x = 568,788 × 568,788
  4. Step 4: Simplify right side
    255,986x = 323,519,788,944
  5. Step 5: Solve for x
    x = 323,519,788,944/255,986
  6. Step 6: Final answer
    x = 1,263,818.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.