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Finding the Third Proportional to 538,231.50 and 832,855.50

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Solution

The third proportional to 538,231.50 and 832,855.50 is: 1,288,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,231.50 : 832,855.50 = 832,855.50 : x
  2. Step 2: Convert to fraction form
    538,231.50/832,855.50 = 832,855.50/x
  3. Step 3: Cross multiply
    538,231.50x = 832,855.50 × 832,855.50
  4. Step 4: Simplify right side
    538,231.50x = 693,648,283,880.25
  5. Step 5: Solve for x
    x = 693,648,283,880.25/538,231.50
  6. Step 6: Final answer
    x = 1,288,754.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.