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Finding the Third Proportional to 242,424 and 518,544

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Solution

The third proportional to 242,424 and 518,544 is: 1,109,163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,424 : 518,544 = 518,544 : x
  2. Step 2: Convert to fraction form
    242,424/518,544 = 518,544/x
  3. Step 3: Cross multiply
    242,424x = 518,544 × 518,544
  4. Step 4: Simplify right side
    242,424x = 268,887,879,936
  5. Step 5: Solve for x
    x = 268,887,879,936/242,424
  6. Step 6: Final answer
    x = 1,109,163.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.