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Finding the Third Proportional to 472,404 and 486,012

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Solution

The third proportional to 472,404 and 486,012 is: 500,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,404 : 486,012 = 486,012 : x
  2. Step 2: Convert to fraction form
    472,404/486,012 = 486,012/x
  3. Step 3: Cross multiply
    472,404x = 486,012 × 486,012
  4. Step 4: Simplify right side
    472,404x = 236,207,664,144
  5. Step 5: Solve for x
    x = 236,207,664,144/472,404
  6. Step 6: Final answer
    x = 500,011.99

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.