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Finding the Third Proportional to 367,413 and 520,033

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Solution

The third proportional to 367,413 and 520,033 is: 736,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,413 : 520,033 = 520,033 : x
  2. Step 2: Convert to fraction form
    367,413/520,033 = 520,033/x
  3. Step 3: Cross multiply
    367,413x = 520,033 × 520,033
  4. Step 4: Simplify right side
    367,413x = 270,434,321,089
  5. Step 5: Solve for x
    x = 270,434,321,089/367,413
  6. Step 6: Final answer
    x = 736,049.95

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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.