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Finding the Third Proportional to 236,363 and 518,647

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Solution

The third proportional to 236,363 and 518,647 is: 1,138,057.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,363 : 518,647 = 518,647 : x
  2. Step 2: Convert to fraction form
    236,363/518,647 = 518,647/x
  3. Step 3: Cross multiply
    236,363x = 518,647 × 518,647
  4. Step 4: Simplify right side
    236,363x = 268,994,710,609
  5. Step 5: Solve for x
    x = 268,994,710,609/236,363
  6. Step 6: Final answer
    x = 1,138,057.61

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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.