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Finding the Third Proportional to 282,826.69 and 395,619.19

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Solution

The third proportional to 282,826.69 and 395,619.19 is: 553,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,826.69 : 395,619.19 = 395,619.19 : x
  2. Step 2: Convert to fraction form
    282,826.69/395,619.19 = 395,619.19/x
  3. Step 3: Cross multiply
    282,826.69x = 395,619.19 × 395,619.19
  4. Step 4: Simplify right side
    282,826.69x = 156,514,541,518.16
  5. Step 5: Solve for x
    x = 156,514,541,518.16/282,826.69
  6. Step 6: Final answer
    x = 553,393.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.