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Finding the Third Proportional to 366,956 and 516,754

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Solution

The third proportional to 366,956 and 516,754 is: 727,702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,956 : 516,754 = 516,754 : x
  2. Step 2: Convert to fraction form
    366,956/516,754 = 516,754/x
  3. Step 3: Cross multiply
    366,956x = 516,754 × 516,754
  4. Step 4: Simplify right side
    366,956x = 267,034,696,516
  5. Step 5: Solve for x
    x = 267,034,696,516/366,956
  6. Step 6: Final answer
    x = 727,702.22

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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.