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Finding the Third Proportional to 265,993 and 568,850

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Solution

The third proportional to 265,993 and 568,850 is: 1,216,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,993 : 568,850 = 568,850 : x
  2. Step 2: Convert to fraction form
    265,993/568,850 = 568,850/x
  3. Step 3: Cross multiply
    265,993x = 568,850 × 568,850
  4. Step 4: Simplify right side
    265,993x = 323,590,322,500
  5. Step 5: Solve for x
    x = 323,590,322,500/265,993
  6. Step 6: Final answer
    x = 1,216,536.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.