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Finding the Third Proportional to 199,513 and 437,794

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Solution

The third proportional to 199,513 and 437,794 is: 960,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,513 : 437,794 = 437,794 : x
  2. Step 2: Convert to fraction form
    199,513/437,794 = 437,794/x
  3. Step 3: Cross multiply
    199,513x = 437,794 × 437,794
  4. Step 4: Simplify right side
    199,513x = 191,663,586,436
  5. Step 5: Solve for x
    x = 191,663,586,436/199,513
  6. Step 6: Final answer
    x = 960,657.13

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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.