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Finding the Third Proportional to 510,826.50 and 766,239.75

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Solution

The third proportional to 510,826.50 and 766,239.75 is: 1,149,359.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,826.50 : 766,239.75 = 766,239.75 : x
  2. Step 2: Convert to fraction form
    510,826.50/766,239.75 = 766,239.75/x
  3. Step 3: Cross multiply
    510,826.50x = 766,239.75 × 766,239.75
  4. Step 4: Simplify right side
    510,826.50x = 587,123,354,480.06
  5. Step 5: Solve for x
    x = 587,123,354,480.06/510,826.50
  6. Step 6: Final answer
    x = 1,149,359.63

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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.