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Finding the Third Proportional to 367,415 and 520,036

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Solution

The third proportional to 367,415 and 520,036 is: 736,054.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,415 : 520,036 = 520,036 : x
  2. Step 2: Convert to fraction form
    367,415/520,036 = 520,036/x
  3. Step 3: Cross multiply
    367,415x = 520,036 × 520,036
  4. Step 4: Simplify right side
    367,415x = 270,437,441,296
  5. Step 5: Solve for x
    x = 270,437,441,296/367,415
  6. Step 6: Final answer
    x = 736,054.44

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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.