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Finding the Third Proportional to 239,513 and 333,020

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Solution

The third proportional to 239,513 and 333,020 is: 463,032.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,513 : 333,020 = 333,020 : x
  2. Step 2: Convert to fraction form
    239,513/333,020 = 333,020/x
  3. Step 3: Cross multiply
    239,513x = 333,020 × 333,020
  4. Step 4: Simplify right side
    239,513x = 110,902,320,400
  5. Step 5: Solve for x
    x = 110,902,320,400/239,513
  6. Step 6: Final answer
    x = 463,032.57

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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.