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Finding the Third Proportional to 218,958 and 478,812

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Solution

The third proportional to 218,958 and 478,812 is: 1,047,054.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,958 : 478,812 = 478,812 : x
  2. Step 2: Convert to fraction form
    218,958/478,812 = 478,812/x
  3. Step 3: Cross multiply
    218,958x = 478,812 × 478,812
  4. Step 4: Simplify right side
    218,958x = 229,260,931,344
  5. Step 5: Solve for x
    x = 229,260,931,344/218,958
  6. Step 6: Final answer
    x = 1,047,054.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.