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Finding the Third Proportional to 236,006 and 511,362

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Solution

The third proportional to 236,006 and 511,362 is: 1,107,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,006 : 511,362 = 511,362 : x
  2. Step 2: Convert to fraction form
    236,006/511,362 = 511,362/x
  3. Step 3: Cross multiply
    236,006x = 511,362 × 511,362
  4. Step 4: Simplify right side
    236,006x = 261,491,095,044
  5. Step 5: Solve for x
    x = 261,491,095,044/236,006
  6. Step 6: Final answer
    x = 1,107,984.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.