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Finding the Third Proportional to 214,846.50 and 472,593

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Solution

The third proportional to 214,846.50 and 472,593 is: 1,039,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,846.50 : 472,593 = 472,593 : x
  2. Step 2: Convert to fraction form
    214,846.50/472,593 = 472,593/x
  3. Step 3: Cross multiply
    214,846.50x = 472,593 × 472,593
  4. Step 4: Simplify right side
    214,846.50x = 223,344,143,649
  5. Step 5: Solve for x
    x = 223,344,143,649/214,846.50
  6. Step 6: Final answer
    x = 1,039,552.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.