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Finding the Third Proportional to 248,467 and 536,273

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Solution

The third proportional to 248,467 and 536,273 is: 1,157,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,467 : 536,273 = 536,273 : x
  2. Step 2: Convert to fraction form
    248,467/536,273 = 536,273/x
  3. Step 3: Cross multiply
    248,467x = 536,273 × 536,273
  4. Step 4: Simplify right side
    248,467x = 287,588,730,529
  5. Step 5: Solve for x
    x = 287,588,730,529/248,467
  6. Step 6: Final answer
    x = 1,157,452.42

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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.