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Finding the Third Proportional to 239,511 and 333,018

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Solution

The third proportional to 239,511 and 333,018 is: 463,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,511 : 333,018 = 333,018 : x
  2. Step 2: Convert to fraction form
    239,511/333,018 = 333,018/x
  3. Step 3: Cross multiply
    239,511x = 333,018 × 333,018
  4. Step 4: Simplify right side
    239,511x = 110,900,988,324
  5. Step 5: Solve for x
    x = 110,900,988,324/239,511
  6. Step 6: Final answer
    x = 463,030.88

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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.