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Finding the Third Proportional to 283,813.88 and 426,917.25

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Solution

The third proportional to 283,813.88 and 426,917.25 is: 642,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,813.88 : 426,917.25 = 426,917.25 : x
  2. Step 2: Convert to fraction form
    283,813.88/426,917.25 = 426,917.25/x
  3. Step 3: Cross multiply
    283,813.88x = 426,917.25 × 426,917.25
  4. Step 4: Simplify right side
    283,813.88x = 182,258,338,347.56
  5. Step 5: Solve for x
    x = 182,258,338,347.56/283,813.88
  6. Step 6: Final answer
    x = 642,175.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.