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Finding the Third Proportional to 241,516.50 and 530,841

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Solution

The third proportional to 241,516.50 and 530,841 is: 1,166,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,516.50 : 530,841 = 530,841 : x
  2. Step 2: Convert to fraction form
    241,516.50/530,841 = 530,841/x
  3. Step 3: Cross multiply
    241,516.50x = 530,841 × 530,841
  4. Step 4: Simplify right side
    241,516.50x = 281,792,167,281
  5. Step 5: Solve for x
    x = 281,792,167,281/241,516.50
  6. Step 6: Final answer
    x = 1,166,761.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.