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Finding the Third Proportional to 327,111 and 693,838.50

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Solution

The third proportional to 327,111 and 693,838.50 is: 1,471,707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,111 : 693,838.50 = 693,838.50 : x
  2. Step 2: Convert to fraction form
    327,111/693,838.50 = 693,838.50/x
  3. Step 3: Cross multiply
    327,111x = 693,838.50 × 693,838.50
  4. Step 4: Simplify right side
    327,111x = 481,411,864,082.25
  5. Step 5: Solve for x
    x = 481,411,864,082.25/327,111
  6. Step 6: Final answer
    x = 1,471,707.96

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.