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Finding the Third Proportional to 374,193 and 770,445

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Solution

The third proportional to 374,193 and 770,445 is: 1,586,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,193 : 770,445 = 770,445 : x
  2. Step 2: Convert to fraction form
    374,193/770,445 = 770,445/x
  3. Step 3: Cross multiply
    374,193x = 770,445 × 770,445
  4. Step 4: Simplify right side
    374,193x = 593,585,498,025
  5. Step 5: Solve for x
    x = 593,585,498,025/374,193
  6. Step 6: Final answer
    x = 1,586,308.40

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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.