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Finding the Third Proportional to 273,363.50 and 384,785

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Solution

The third proportional to 273,363.50 and 384,785 is: 541,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,363.50 : 384,785 = 384,785 : x
  2. Step 2: Convert to fraction form
    273,363.50/384,785 = 384,785/x
  3. Step 3: Cross multiply
    273,363.50x = 384,785 × 384,785
  4. Step 4: Simplify right side
    273,363.50x = 148,059,496,225
  5. Step 5: Solve for x
    x = 148,059,496,225/273,363.50
  6. Step 6: Final answer
    x = 541,621.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.