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Finding the Third Proportional to 248,657 and 536,626

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Solution

The third proportional to 248,657 and 536,626 is: 1,158,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,657 : 536,626 = 536,626 : x
  2. Step 2: Convert to fraction form
    248,657/536,626 = 536,626/x
  3. Step 3: Cross multiply
    248,657x = 536,626 × 536,626
  4. Step 4: Simplify right side
    248,657x = 287,967,463,876
  5. Step 5: Solve for x
    x = 287,967,463,876/248,657
  6. Step 6: Final answer
    x = 1,158,091.12

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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.