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Finding the Third Proportional to 300,529.50 and 634,593

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Solution

The third proportional to 300,529.50 and 634,593 is: 1,339,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,529.50 : 634,593 = 634,593 : x
  2. Step 2: Convert to fraction form
    300,529.50/634,593 = 634,593/x
  3. Step 3: Cross multiply
    300,529.50x = 634,593 × 634,593
  4. Step 4: Simplify right side
    300,529.50x = 402,708,275,649
  5. Step 5: Solve for x
    x = 402,708,275,649/300,529.50
  6. Step 6: Final answer
    x = 1,339,995.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.