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Finding the Third Proportional to 330,076 and 481,002

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Solution

The third proportional to 330,076 and 481,002 is: 700,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,076 : 481,002 = 481,002 : x
  2. Step 2: Convert to fraction form
    330,076/481,002 = 481,002/x
  3. Step 3: Cross multiply
    330,076x = 481,002 × 481,002
  4. Step 4: Simplify right side
    330,076x = 231,362,924,004
  5. Step 5: Solve for x
    x = 231,362,924,004/330,076
  6. Step 6: Final answer
    x = 700,938.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.