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Finding the Third Proportional to 384,975 and 794,340

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Solution

The third proportional to 384,975 and 794,340 is: 1,639,005.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,975 : 794,340 = 794,340 : x
  2. Step 2: Convert to fraction form
    384,975/794,340 = 794,340/x
  3. Step 3: Cross multiply
    384,975x = 794,340 × 794,340
  4. Step 4: Simplify right side
    384,975x = 630,976,035,600
  5. Step 5: Solve for x
    x = 630,976,035,600/384,975
  6. Step 6: Final answer
    x = 1,639,005.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.