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Finding the Third Proportional to 199,485 and 437,124

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Solution

The third proportional to 199,485 and 437,124 is: 957,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,485 : 437,124 = 437,124 : x
  2. Step 2: Convert to fraction form
    199,485/437,124 = 437,124/x
  3. Step 3: Cross multiply
    199,485x = 437,124 × 437,124
  4. Step 4: Simplify right side
    199,485x = 191,077,391,376
  5. Step 5: Solve for x
    x = 191,077,391,376/199,485
  6. Step 6: Final answer
    x = 957,853.43

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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.