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Finding the Third Proportional to 260,042.50 and 567,940

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Solution

The third proportional to 260,042.50 and 567,940 is: 1,240,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,042.50 : 567,940 = 567,940 : x
  2. Step 2: Convert to fraction form
    260,042.50/567,940 = 567,940/x
  3. Step 3: Cross multiply
    260,042.50x = 567,940 × 567,940
  4. Step 4: Simplify right side
    260,042.50x = 322,555,843,600
  5. Step 5: Solve for x
    x = 322,555,843,600/260,042.50
  6. Step 6: Final answer
    x = 1,240,396.64

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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.