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Finding the Third Proportional to 402,003 and 850,662

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Solution

The third proportional to 402,003 and 850,662 is: 1,800,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,003 : 850,662 = 850,662 : x
  2. Step 2: Convert to fraction form
    402,003/850,662 = 850,662/x
  3. Step 3: Cross multiply
    402,003x = 850,662 × 850,662
  4. Step 4: Simplify right side
    402,003x = 723,625,838,244
  5. Step 5: Solve for x
    x = 723,625,838,244/402,003
  6. Step 6: Final answer
    x = 1,800,050.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.