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Finding the Third Proportional to 303,686.81 and 703,053.56

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Solution

The third proportional to 303,686.81 and 703,053.56 is: 1,627,612.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,686.81 : 703,053.56 = 703,053.56 : x
  2. Step 2: Convert to fraction form
    303,686.81/703,053.56 = 703,053.56/x
  3. Step 3: Cross multiply
    303,686.81x = 703,053.56 × 703,053.56
  4. Step 4: Simplify right side
    303,686.81x = 494,284,311,743.94
  5. Step 5: Solve for x
    x = 494,284,311,743.94/303,686.81
  6. Step 6: Final answer
    x = 1,627,612.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.