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Finding the Third Proportional to 263,091.38 and 410,038.88

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Solution

The third proportional to 263,091.38 and 410,038.88 is: 639,062.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,091.38 : 410,038.88 = 410,038.88 : x
  2. Step 2: Convert to fraction form
    263,091.38/410,038.88 = 410,038.88/x
  3. Step 3: Cross multiply
    263,091.38x = 410,038.88 × 410,038.88
  4. Step 4: Simplify right side
    263,091.38x = 168,131,879,011.27
  5. Step 5: Solve for x
    x = 168,131,879,011.27/263,091.38
  6. Step 6: Final answer
    x = 639,062.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.