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Finding the Third Proportional to 367,444 and 520,078

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Solution

The third proportional to 367,444 and 520,078 is: 736,115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,444 : 520,078 = 520,078 : x
  2. Step 2: Convert to fraction form
    367,444/520,078 = 520,078/x
  3. Step 3: Cross multiply
    367,444x = 520,078 × 520,078
  4. Step 4: Simplify right side
    367,444x = 270,481,126,084
  5. Step 5: Solve for x
    x = 270,481,126,084/367,444
  6. Step 6: Final answer
    x = 736,115.23

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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.