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Finding the Third Proportional to 366,983.63 and 516,796.13

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Solution

The third proportional to 366,983.63 and 516,796.13 is: 727,766.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,983.63 : 516,796.13 = 516,796.13 : x
  2. Step 2: Convert to fraction form
    366,983.63/516,796.13 = 516,796.13/x
  3. Step 3: Cross multiply
    366,983.63x = 516,796.13 × 516,796.13
  4. Step 4: Simplify right side
    366,983.63x = 267,078,234,815.02
  5. Step 5: Solve for x
    x = 267,078,234,815.02/366,983.63
  6. Step 6: Final answer
    x = 727,766.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.