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Finding the Third Proportional to 239,338 and 486,524

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Solution

The third proportional to 239,338 and 486,524 is: 989,001.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,338 : 486,524 = 486,524 : x
  2. Step 2: Convert to fraction form
    239,338/486,524 = 486,524/x
  3. Step 3: Cross multiply
    239,338x = 486,524 × 486,524
  4. Step 4: Simplify right side
    239,338x = 236,705,602,576
  5. Step 5: Solve for x
    x = 236,705,602,576/239,338
  6. Step 6: Final answer
    x = 989,001.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.