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Finding the Third Proportional to 369,510 and 794,268

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Solution

The third proportional to 369,510 and 794,268 is: 1,707,292.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,510 : 794,268 = 794,268 : x
  2. Step 2: Convert to fraction form
    369,510/794,268 = 794,268/x
  3. Step 3: Cross multiply
    369,510x = 794,268 × 794,268
  4. Step 4: Simplify right side
    369,510x = 630,861,655,824
  5. Step 5: Solve for x
    x = 630,861,655,824/369,510
  6. Step 6: Final answer
    x = 1,707,292.51

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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.