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Finding the Third Proportional to 263,953.69 and 576,309.94

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Solution

The third proportional to 263,953.69 and 576,309.94 is: 1,258,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,953.69 : 576,309.94 = 576,309.94 : x
  2. Step 2: Convert to fraction form
    263,953.69/576,309.94 = 576,309.94/x
  3. Step 3: Cross multiply
    263,953.69x = 576,309.94 × 576,309.94
  4. Step 4: Simplify right side
    263,953.69x = 332,133,144,061.25
  5. Step 5: Solve for x
    x = 332,133,144,061.25/263,953.69
  6. Step 6: Final answer
    x = 1,258,300.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.