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Finding the Third Proportional to 312,760.69 and 517,667.06

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Solution

The third proportional to 312,760.69 and 517,667.06 is: 856,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,760.69 : 517,667.06 = 517,667.06 : x
  2. Step 2: Convert to fraction form
    312,760.69/517,667.06 = 517,667.06/x
  3. Step 3: Cross multiply
    312,760.69x = 517,667.06 × 517,667.06
  4. Step 4: Simplify right side
    312,760.69x = 267,979,187,597.38
  5. Step 5: Solve for x
    x = 267,979,187,597.38/312,760.69
  6. Step 6: Final answer
    x = 856,818.64

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.