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Finding the Third Proportional to 369,504 and 794,256

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Solution

The third proportional to 369,504 and 794,256 is: 1,707,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,504 : 794,256 = 794,256 : x
  2. Step 2: Convert to fraction form
    369,504/794,256 = 794,256/x
  3. Step 3: Cross multiply
    369,504x = 794,256 × 794,256
  4. Step 4: Simplify right side
    369,504x = 630,842,593,536
  5. Step 5: Solve for x
    x = 630,842,593,536/369,504
  6. Step 6: Final answer
    x = 1,707,268.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.