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Finding the Third Proportional to 263,260.13 and 404,731.69

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Solution

The third proportional to 263,260.13 and 404,731.69 is: 622,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,260.13 : 404,731.69 = 404,731.69 : x
  2. Step 2: Convert to fraction form
    263,260.13/404,731.69 = 404,731.69/x
  3. Step 3: Cross multiply
    263,260.13x = 404,731.69 × 404,731.69
  4. Step 4: Simplify right side
    263,260.13x = 163,807,738,866.60
  5. Step 5: Solve for x
    x = 163,807,738,866.60/263,260.13
  6. Step 6: Final answer
    x = 622,227.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.