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Finding the Third Proportional to 218,312 and 469,825

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Solution

The third proportional to 218,312 and 469,825 is: 1,011,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,312 : 469,825 = 469,825 : x
  2. Step 2: Convert to fraction form
    218,312/469,825 = 469,825/x
  3. Step 3: Cross multiply
    218,312x = 469,825 × 469,825
  4. Step 4: Simplify right side
    218,312x = 220,735,530,625
  5. Step 5: Solve for x
    x = 220,735,530,625/218,312
  6. Step 6: Final answer
    x = 1,011,101.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.