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Finding the Third Proportional to 219,253 and 327,998

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Solution

The third proportional to 219,253 and 327,998 is: 490,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,253 : 327,998 = 327,998 : x
  2. Step 2: Convert to fraction form
    219,253/327,998 = 327,998/x
  3. Step 3: Cross multiply
    219,253x = 327,998 × 327,998
  4. Step 4: Simplify right side
    219,253x = 107,582,688,004
  5. Step 5: Solve for x
    x = 107,582,688,004/219,253
  6. Step 6: Final answer
    x = 490,678.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.