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Finding the Third Proportional to 367,442 and 520,077

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Solution

The third proportional to 367,442 and 520,077 is: 736,116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,442 : 520,077 = 520,077 : x
  2. Step 2: Convert to fraction form
    367,442/520,077 = 520,077/x
  3. Step 3: Cross multiply
    367,442x = 520,077 × 520,077
  4. Step 4: Simplify right side
    367,442x = 270,480,085,929
  5. Step 5: Solve for x
    x = 270,480,085,929/367,442
  6. Step 6: Final answer
    x = 736,116.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.