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Finding the Third Proportional to 367,023 and 516,844

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Solution

The third proportional to 367,023 and 516,844 is: 727,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,023 : 516,844 = 516,844 : x
  2. Step 2: Convert to fraction form
    367,023/516,844 = 516,844/x
  3. Step 3: Cross multiply
    367,023x = 516,844 × 516,844
  4. Step 4: Simplify right side
    367,023x = 267,127,720,336
  5. Step 5: Solve for x
    x = 267,127,720,336/367,023
  6. Step 6: Final answer
    x = 727,822.83

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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.