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Finding the Third Proportional to 366,946 and 516,742

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Solution

The third proportional to 366,946 and 516,742 is: 727,688.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,946 : 516,742 = 516,742 : x
  2. Step 2: Convert to fraction form
    366,946/516,742 = 516,742/x
  3. Step 3: Cross multiply
    366,946x = 516,742 × 516,742
  4. Step 4: Simplify right side
    366,946x = 267,022,294,564
  5. Step 5: Solve for x
    x = 267,022,294,564/366,946
  6. Step 6: Final answer
    x = 727,688.26

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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.