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Finding the Third Proportional to 369,470.25 and 794,193

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Solution

The third proportional to 369,470.25 and 794,193 is: 1,707,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,470.25 : 794,193 = 794,193 : x
  2. Step 2: Convert to fraction form
    369,470.25/794,193 = 794,193/x
  3. Step 3: Cross multiply
    369,470.25x = 794,193 × 794,193
  4. Step 4: Simplify right side
    369,470.25x = 630,742,521,249
  5. Step 5: Solve for x
    x = 630,742,521,249/369,470.25
  6. Step 6: Final answer
    x = 1,707,153.75

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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.