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Finding the Third Proportional to 361,264 and 794,038

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Solution

The third proportional to 361,264 and 794,038 is: 1,745,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,264 : 794,038 = 794,038 : x
  2. Step 2: Convert to fraction form
    361,264/794,038 = 794,038/x
  3. Step 3: Cross multiply
    361,264x = 794,038 × 794,038
  4. Step 4: Simplify right side
    361,264x = 630,496,345,444
  5. Step 5: Solve for x
    x = 630,496,345,444/361,264
  6. Step 6: Final answer
    x = 1,745,250.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.