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Finding the Third Proportional to 260,235 and 567,774

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Solution

The third proportional to 260,235 and 567,774 is: 1,238,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,235 : 567,774 = 567,774 : x
  2. Step 2: Convert to fraction form
    260,235/567,774 = 567,774/x
  3. Step 3: Cross multiply
    260,235x = 567,774 × 567,774
  4. Step 4: Simplify right side
    260,235x = 322,367,315,076
  5. Step 5: Solve for x
    x = 322,367,315,076/260,235
  6. Step 6: Final answer
    x = 1,238,754.65

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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.