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Finding the Third Proportional to 269,806.50 and 576,996.75

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Solution

The third proportional to 269,806.50 and 576,996.75 is: 1,233,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,806.50 : 576,996.75 = 576,996.75 : x
  2. Step 2: Convert to fraction form
    269,806.50/576,996.75 = 576,996.75/x
  3. Step 3: Cross multiply
    269,806.50x = 576,996.75 × 576,996.75
  4. Step 4: Simplify right side
    269,806.50x = 332,925,249,510.56
  5. Step 5: Solve for x
    x = 332,925,249,510.56/269,806.50
  6. Step 6: Final answer
    x = 1,233,940.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.