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Finding the Third Proportional to 367,106 and 516,974

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Solution

The third proportional to 367,106 and 516,974 is: 728,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,106 : 516,974 = 516,974 : x
  2. Step 2: Convert to fraction form
    367,106/516,974 = 516,974/x
  3. Step 3: Cross multiply
    367,106x = 516,974 × 516,974
  4. Step 4: Simplify right side
    367,106x = 267,262,116,676
  5. Step 5: Solve for x
    x = 267,262,116,676/367,106
  6. Step 6: Final answer
    x = 728,024.38

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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.