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Finding the Third Proportional to 218,276 and 458,568

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Solution

The third proportional to 218,276 and 458,568 is: 963,388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,276 : 458,568 = 458,568 : x
  2. Step 2: Convert to fraction form
    218,276/458,568 = 458,568/x
  3. Step 3: Cross multiply
    218,276x = 458,568 × 458,568
  4. Step 4: Simplify right side
    218,276x = 210,284,610,624
  5. Step 5: Solve for x
    x = 210,284,610,624/218,276
  6. Step 6: Final answer
    x = 963,388.60

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.