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Finding the Third Proportional to 486,380 and 777,005

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Solution

The third proportional to 486,380 and 777,005 is: 1,241,286.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,380 : 777,005 = 777,005 : x
  2. Step 2: Convert to fraction form
    486,380/777,005 = 777,005/x
  3. Step 3: Cross multiply
    486,380x = 777,005 × 777,005
  4. Step 4: Simplify right side
    486,380x = 603,736,770,025
  5. Step 5: Solve for x
    x = 603,736,770,025/486,380
  6. Step 6: Final answer
    x = 1,241,286.18

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.