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Finding the Third Proportional to 248,469 and 536,277

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Solution

The third proportional to 248,469 and 536,277 is: 1,157,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,469 : 536,277 = 536,277 : x
  2. Step 2: Convert to fraction form
    248,469/536,277 = 536,277/x
  3. Step 3: Cross multiply
    248,469x = 536,277 × 536,277
  4. Step 4: Simplify right side
    248,469x = 287,593,020,729
  5. Step 5: Solve for x
    x = 287,593,020,729/248,469
  6. Step 6: Final answer
    x = 1,157,460.37

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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.