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Finding the Third Proportional to 366,942 and 516,735

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Solution

The third proportional to 366,942 and 516,735 is: 727,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,942 : 516,735 = 516,735 : x
  2. Step 2: Convert to fraction form
    366,942/516,735 = 516,735/x
  3. Step 3: Cross multiply
    366,942x = 516,735 × 516,735
  4. Step 4: Simplify right side
    366,942x = 267,015,060,225
  5. Step 5: Solve for x
    x = 267,015,060,225/366,942
  6. Step 6: Final answer
    x = 727,676.47

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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.