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Finding the Third Proportional to 375,975 and 543,226.50

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Solution

The third proportional to 375,975 and 543,226.50 is: 784,879.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,975 : 543,226.50 = 543,226.50 : x
  2. Step 2: Convert to fraction form
    375,975/543,226.50 = 543,226.50/x
  3. Step 3: Cross multiply
    375,975x = 543,226.50 × 543,226.50
  4. Step 4: Simplify right side
    375,975x = 295,095,030,302.25
  5. Step 5: Solve for x
    x = 295,095,030,302.25/375,975
  6. Step 6: Final answer
    x = 784,879.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.