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Finding the Third Proportional to 367,434 and 520,064

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Solution

The third proportional to 367,434 and 520,064 is: 736,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,434 : 520,064 = 520,064 : x
  2. Step 2: Convert to fraction form
    367,434/520,064 = 520,064/x
  3. Step 3: Cross multiply
    367,434x = 520,064 × 520,064
  4. Step 4: Simplify right side
    367,434x = 270,466,564,096
  5. Step 5: Solve for x
    x = 270,466,564,096/367,434
  6. Step 6: Final answer
    x = 736,095.64

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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.