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Finding the Third Proportional to 266,823 and 426,759.75

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Solution

The third proportional to 266,823 and 426,759.75 is: 682,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,823 : 426,759.75 = 426,759.75 : x
  2. Step 2: Convert to fraction form
    266,823/426,759.75 = 426,759.75/x
  3. Step 3: Cross multiply
    266,823x = 426,759.75 × 426,759.75
  4. Step 4: Simplify right side
    266,823x = 182,123,884,220.06
  5. Step 5: Solve for x
    x = 182,123,884,220.06/266,823
  6. Step 6: Final answer
    x = 682,564.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.