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Finding the Third Proportional to 479,622 and 703,881

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Solution

The third proportional to 479,622 and 703,881 is: 1,032,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,622 : 703,881 = 703,881 : x
  2. Step 2: Convert to fraction form
    479,622/703,881 = 703,881/x
  3. Step 3: Cross multiply
    479,622x = 703,881 × 703,881
  4. Step 4: Simplify right side
    479,622x = 495,448,462,161
  5. Step 5: Solve for x
    x = 495,448,462,161/479,622
  6. Step 6: Final answer
    x = 1,032,997.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.