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Finding the Third Proportional to 199,615 and 437,875

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Solution

The third proportional to 199,615 and 437,875 is: 960,521.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,615 : 437,875 = 437,875 : x
  2. Step 2: Convert to fraction form
    199,615/437,875 = 437,875/x
  3. Step 3: Cross multiply
    199,615x = 437,875 × 437,875
  4. Step 4: Simplify right side
    199,615x = 191,734,515,625
  5. Step 5: Solve for x
    x = 191,734,515,625/199,615
  6. Step 6: Final answer
    x = 960,521.58

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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.