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Finding the Third Proportional to 315,940.50 and 685,082.81

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Solution

The third proportional to 315,940.50 and 685,082.81 is: 1,485,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,940.50 : 685,082.81 = 685,082.81 : x
  2. Step 2: Convert to fraction form
    315,940.50/685,082.81 = 685,082.81/x
  3. Step 3: Cross multiply
    315,940.50x = 685,082.81 × 685,082.81
  4. Step 4: Simplify right side
    315,940.50x = 469,338,459,982.91
  5. Step 5: Solve for x
    x = 469,338,459,982.91/315,940.50
  6. Step 6: Final answer
    x = 1,485,528.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.