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Finding the Third Proportional to 367,424 and 520,048

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Solution

The third proportional to 367,424 and 520,048 is: 736,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,424 : 520,048 = 520,048 : x
  2. Step 2: Convert to fraction form
    367,424/520,048 = 520,048/x
  3. Step 3: Cross multiply
    367,424x = 520,048 × 520,048
  4. Step 4: Simplify right side
    367,424x = 270,449,922,304
  5. Step 5: Solve for x
    x = 270,449,922,304/367,424
  6. Step 6: Final answer
    x = 736,070.38

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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.