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Finding the Third Proportional to 239,499 and 333,004

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Solution

The third proportional to 239,499 and 333,004 is: 463,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,499 : 333,004 = 333,004 : x
  2. Step 2: Convert to fraction form
    239,499/333,004 = 333,004/x
  3. Step 3: Cross multiply
    239,499x = 333,004 × 333,004
  4. Step 4: Simplify right side
    239,499x = 110,891,664,016
  5. Step 5: Solve for x
    x = 110,891,664,016/239,499
  6. Step 6: Final answer
    x = 463,015.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.