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Finding the Third Proportional to 199,438 and 437,627

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Solution

The third proportional to 199,438 and 437,627 is: 960,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,438 : 437,627 = 437,627 : x
  2. Step 2: Convert to fraction form
    199,438/437,627 = 437,627/x
  3. Step 3: Cross multiply
    199,438x = 437,627 × 437,627
  4. Step 4: Simplify right side
    199,438x = 191,517,391,129
  5. Step 5: Solve for x
    x = 191,517,391,129/199,438
  6. Step 6: Final answer
    x = 960,285.36

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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.