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Finding the Third Proportional to 239,810 and 360,333

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Solution

The third proportional to 239,810 and 360,333 is: 541,428.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,810 : 360,333 = 360,333 : x
  2. Step 2: Convert to fraction form
    239,810/360,333 = 360,333/x
  3. Step 3: Cross multiply
    239,810x = 360,333 × 360,333
  4. Step 4: Simplify right side
    239,810x = 129,839,870,889
  5. Step 5: Solve for x
    x = 129,839,870,889/239,810
  6. Step 6: Final answer
    x = 541,428.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.