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Finding the Third Proportional to 535,155.50 and 733,843

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Solution

The third proportional to 535,155.50 and 733,843 is: 1,006,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,155.50 : 733,843 = 733,843 : x
  2. Step 2: Convert to fraction form
    535,155.50/733,843 = 733,843/x
  3. Step 3: Cross multiply
    535,155.50x = 733,843 × 733,843
  4. Step 4: Simplify right side
    535,155.50x = 538,525,548,649
  5. Step 5: Solve for x
    x = 538,525,548,649/535,155.50
  6. Step 6: Final answer
    x = 1,006,297.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.