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Finding the Third Proportional to 437,794 and 928,305

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Solution

The third proportional to 437,794 and 928,305 is: 1,968,391.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,794 : 928,305 = 928,305 : x
  2. Step 2: Convert to fraction form
    437,794/928,305 = 928,305/x
  3. Step 3: Cross multiply
    437,794x = 928,305 × 928,305
  4. Step 4: Simplify right side
    437,794x = 861,750,173,025
  5. Step 5: Solve for x
    x = 861,750,173,025/437,794
  6. Step 6: Final answer
    x = 1,968,391.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.