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Finding the Third Proportional to 236,283 and 518,493

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Solution

The third proportional to 236,283 and 518,493 is: 1,137,766.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,283 : 518,493 = 518,493 : x
  2. Step 2: Convert to fraction form
    236,283/518,493 = 518,493/x
  3. Step 3: Cross multiply
    236,283x = 518,493 × 518,493
  4. Step 4: Simplify right side
    236,283x = 268,834,991,049
  5. Step 5: Solve for x
    x = 268,834,991,049/236,283
  6. Step 6: Final answer
    x = 1,137,766.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.