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Finding the Third Proportional to 248,655 and 536,622

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Solution

The third proportional to 248,655 and 536,622 is: 1,158,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,655 : 536,622 = 536,622 : x
  2. Step 2: Convert to fraction form
    248,655/536,622 = 536,622/x
  3. Step 3: Cross multiply
    248,655x = 536,622 × 536,622
  4. Step 4: Simplify right side
    248,655x = 287,963,170,884
  5. Step 5: Solve for x
    x = 287,963,170,884/248,655
  6. Step 6: Final answer
    x = 1,158,083.17

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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.