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Finding the Third Proportional to 260,037.50 and 567,930

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Solution

The third proportional to 260,037.50 and 567,930 is: 1,240,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,037.50 : 567,930 = 567,930 : x
  2. Step 2: Convert to fraction form
    260,037.50/567,930 = 567,930/x
  3. Step 3: Cross multiply
    260,037.50x = 567,930 × 567,930
  4. Step 4: Simplify right side
    260,037.50x = 322,544,484,900
  5. Step 5: Solve for x
    x = 322,544,484,900/260,037.50
  6. Step 6: Final answer
    x = 1,240,376.81

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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.