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Finding the Third Proportional to 260,084 and 567,796

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Solution

The third proportional to 260,084 and 567,796 is: 1,239,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,084 : 567,796 = 567,796 : x
  2. Step 2: Convert to fraction form
    260,084/567,796 = 567,796/x
  3. Step 3: Cross multiply
    260,084x = 567,796 × 567,796
  4. Step 4: Simplify right side
    260,084x = 322,392,297,616
  5. Step 5: Solve for x
    x = 322,392,297,616/260,084
  6. Step 6: Final answer
    x = 1,239,569.90

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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.