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Finding the Third Proportional to 479,630 and 703,892

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Solution

The third proportional to 479,630 and 703,892 is: 1,033,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,630 : 703,892 = 703,892 : x
  2. Step 2: Convert to fraction form
    479,630/703,892 = 703,892/x
  3. Step 3: Cross multiply
    479,630x = 703,892 × 703,892
  4. Step 4: Simplify right side
    479,630x = 495,463,947,664
  5. Step 5: Solve for x
    x = 495,463,947,664/479,630
  6. Step 6: Final answer
    x = 1,033,012.84

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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.