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Finding the Third Proportional to 199,515 and 437,832

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Solution

The third proportional to 199,515 and 437,832 is: 960,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,515 : 437,832 = 437,832 : x
  2. Step 2: Convert to fraction form
    199,515/437,832 = 437,832/x
  3. Step 3: Cross multiply
    199,515x = 437,832 × 437,832
  4. Step 4: Simplify right side
    199,515x = 191,696,860,224
  5. Step 5: Solve for x
    x = 191,696,860,224/199,515
  6. Step 6: Final answer
    x = 960,814.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.