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Finding the Third Proportional to 236,132 and 509,581

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Solution

The third proportional to 236,132 and 509,581 is: 1,099,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,132 : 509,581 = 509,581 : x
  2. Step 2: Convert to fraction form
    236,132/509,581 = 509,581/x
  3. Step 3: Cross multiply
    236,132x = 509,581 × 509,581
  4. Step 4: Simplify right side
    236,132x = 259,672,795,561
  5. Step 5: Solve for x
    x = 259,672,795,561/236,132
  6. Step 6: Final answer
    x = 1,099,693.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.