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Finding the Third Proportional to 249,026 and 396,051

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Solution

The third proportional to 249,026 and 396,051 is: 629,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,026 : 396,051 = 396,051 : x
  2. Step 2: Convert to fraction form
    249,026/396,051 = 396,051/x
  3. Step 3: Cross multiply
    249,026x = 396,051 × 396,051
  4. Step 4: Simplify right side
    249,026x = 156,856,394,601
  5. Step 5: Solve for x
    x = 156,856,394,601/249,026
  6. Step 6: Final answer
    x = 629,879.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.