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Finding the Third Proportional to 367,405 and 520,021.50

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Solution

The third proportional to 367,405 and 520,021.50 is: 736,033.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,405 : 520,021.50 = 520,021.50 : x
  2. Step 2: Convert to fraction form
    367,405/520,021.50 = 520,021.50/x
  3. Step 3: Cross multiply
    367,405x = 520,021.50 × 520,021.50
  4. Step 4: Simplify right side
    367,405x = 270,422,360,462.25
  5. Step 5: Solve for x
    x = 270,422,360,462.25/367,405
  6. Step 6: Final answer
    x = 736,033.42

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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.