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Finding the Third Proportional to 311,529.80 and 680,718.94

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Solution

The third proportional to 311,529.80 and 680,718.94 is: 1,487,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,529.80 : 680,718.94 = 680,718.94 : x
  2. Step 2: Convert to fraction form
    311,529.80/680,718.94 = 680,718.94/x
  3. Step 3: Cross multiply
    311,529.80x = 680,718.94 × 680,718.94
  4. Step 4: Simplify right side
    311,529.80x = 463,378,271,871.13
  5. Step 5: Solve for x
    x = 463,378,271,871.13/311,529.80
  6. Step 6: Final answer
    x = 1,487,428.41

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