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Finding the Third Proportional to 202,555.69 and 441,559.69

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Solution

The third proportional to 202,555.69 and 441,559.69 is: 962,574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,555.69 : 441,559.69 = 441,559.69 : x
  2. Step 2: Convert to fraction form
    202,555.69/441,559.69 = 441,559.69/x
  3. Step 3: Cross multiply
    202,555.69x = 441,559.69 × 441,559.69
  4. Step 4: Simplify right side
    202,555.69x = 194,974,957,625.10
  5. Step 5: Solve for x
    x = 194,974,957,625.10/202,555.69
  6. Step 6: Final answer
    x = 962,574.59

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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.