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Finding the Third Proportional to 503,545.50 and 768,467.25

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Solution

The third proportional to 503,545.50 and 768,467.25 is: 1,172,767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,545.50 : 768,467.25 = 768,467.25 : x
  2. Step 2: Convert to fraction form
    503,545.50/768,467.25 = 768,467.25/x
  3. Step 3: Cross multiply
    503,545.50x = 768,467.25 × 768,467.25
  4. Step 4: Simplify right side
    503,545.50x = 590,541,914,322.56
  5. Step 5: Solve for x
    x = 590,541,914,322.56/503,545.50
  6. Step 6: Final answer
    x = 1,172,767.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.