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Finding the Third Proportional to 362,863.13 and 576,471.38

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Solution

The third proportional to 362,863.13 and 576,471.38 is: 915,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,863.13 : 576,471.38 = 576,471.38 : x
  2. Step 2: Convert to fraction form
    362,863.13/576,471.38 = 576,471.38/x
  3. Step 3: Cross multiply
    362,863.13x = 576,471.38 × 576,471.38
  4. Step 4: Simplify right side
    362,863.13x = 332,319,246,194.39
  5. Step 5: Solve for x
    x = 332,319,246,194.39/362,863.13
  6. Step 6: Final answer
    x = 915,825.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.