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Finding the Third Proportional to 367,432 and 520,059

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Solution

The third proportional to 367,432 and 520,059 is: 736,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,432 : 520,059 = 520,059 : x
  2. Step 2: Convert to fraction form
    367,432/520,059 = 520,059/x
  3. Step 3: Cross multiply
    367,432x = 520,059 × 520,059
  4. Step 4: Simplify right side
    367,432x = 270,461,363,481
  5. Step 5: Solve for x
    x = 270,461,363,481/367,432
  6. Step 6: Final answer
    x = 736,085.49

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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.