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Finding the Third Proportional to 214,849.50 and 472,599

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Solution

The third proportional to 214,849.50 and 472,599 is: 1,039,564.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,849.50 : 472,599 = 472,599 : x
  2. Step 2: Convert to fraction form
    214,849.50/472,599 = 472,599/x
  3. Step 3: Cross multiply
    214,849.50x = 472,599 × 472,599
  4. Step 4: Simplify right side
    214,849.50x = 223,349,814,801
  5. Step 5: Solve for x
    x = 223,349,814,801/214,849.50
  6. Step 6: Final answer
    x = 1,039,564.04

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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.