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Finding the Third Proportional to 275,869.69 and 421,823.53

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Solution

The third proportional to 275,869.69 and 421,823.53 is: 644,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,869.69 : 421,823.53 = 421,823.53 : x
  2. Step 2: Convert to fraction form
    275,869.69/421,823.53 = 421,823.53/x
  3. Step 3: Cross multiply
    275,869.69x = 421,823.53 × 421,823.53
  4. Step 4: Simplify right side
    275,869.69x = 177,935,091,516.22
  5. Step 5: Solve for x
    x = 177,935,091,516.22/275,869.69
  6. Step 6: Final answer
    x = 644,996.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.