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Finding the Third Proportional to 218,310 and 469,821

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Solution

The third proportional to 218,310 and 469,821 is: 1,011,093.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,310 : 469,821 = 469,821 : x
  2. Step 2: Convert to fraction form
    218,310/469,821 = 469,821/x
  3. Step 3: Cross multiply
    218,310x = 469,821 × 469,821
  4. Step 4: Simplify right side
    218,310x = 220,731,772,041
  5. Step 5: Solve for x
    x = 220,731,772,041/218,310
  6. Step 6: Final answer
    x = 1,011,093.27

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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.