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Finding the Third Proportional to 282,379.29 and 579,790.41

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Solution

The third proportional to 282,379.29 and 579,790.41 is: 1,190,444.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,379.29 : 579,790.41 = 579,790.41 : x
  2. Step 2: Convert to fraction form
    282,379.29/579,790.41 = 579,790.41/x
  3. Step 3: Cross multiply
    282,379.29x = 579,790.41 × 579,790.41
  4. Step 4: Simplify right side
    282,379.29x = 336,156,915,179.54
  5. Step 5: Solve for x
    x = 336,156,915,179.54/282,379.29
  6. Step 6: Final answer
    x = 1,190,444.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.