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Finding the Third Proportional to 373,968 and 800,394

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Solution

The third proportional to 373,968 and 800,394 is: 1,713,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,968 : 800,394 = 800,394 : x
  2. Step 2: Convert to fraction form
    373,968/800,394 = 800,394/x
  3. Step 3: Cross multiply
    373,968x = 800,394 × 800,394
  4. Step 4: Simplify right side
    373,968x = 640,630,555,236
  5. Step 5: Solve for x
    x = 640,630,555,236/373,968
  6. Step 6: Final answer
    x = 1,713,062.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.