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Finding the Third Proportional to 367,036 and 516,854

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Solution

The third proportional to 367,036 and 516,854 is: 727,825.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,036 : 516,854 = 516,854 : x
  2. Step 2: Convert to fraction form
    367,036/516,854 = 516,854/x
  3. Step 3: Cross multiply
    367,036x = 516,854 × 516,854
  4. Step 4: Simplify right side
    367,036x = 267,138,057,316
  5. Step 5: Solve for x
    x = 267,138,057,316/367,036
  6. Step 6: Final answer
    x = 727,825.22

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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.