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Finding the Third Proportional to 440,328 and 520,032

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Solution

The third proportional to 440,328 and 520,032 is: 614,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,328 : 520,032 = 520,032 : x
  2. Step 2: Convert to fraction form
    440,328/520,032 = 520,032/x
  3. Step 3: Cross multiply
    440,328x = 520,032 × 520,032
  4. Step 4: Simplify right side
    440,328x = 270,433,281,024
  5. Step 5: Solve for x
    x = 270,433,281,024/440,328
  6. Step 6: Final answer
    x = 614,163.26

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.