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Finding the Third Proportional to 248,616 and 536,544

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Solution

The third proportional to 248,616 and 536,544 is: 1,157,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,616 : 536,544 = 536,544 : x
  2. Step 2: Convert to fraction form
    248,616/536,544 = 536,544/x
  3. Step 3: Cross multiply
    248,616x = 536,544 × 536,544
  4. Step 4: Simplify right side
    248,616x = 287,879,463,936
  5. Step 5: Solve for x
    x = 287,879,463,936/248,616
  6. Step 6: Final answer
    x = 1,157,928.15

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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.