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Finding the Third Proportional to 260,236 and 567,778

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Solution

The third proportional to 260,236 and 567,778 is: 1,238,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,236 : 567,778 = 567,778 : x
  2. Step 2: Convert to fraction form
    260,236/567,778 = 567,778/x
  3. Step 3: Cross multiply
    260,236x = 567,778 × 567,778
  4. Step 4: Simplify right side
    260,236x = 322,371,857,284
  5. Step 5: Solve for x
    x = 322,371,857,284/260,236
  6. Step 6: Final answer
    x = 1,238,767.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.