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Finding the Third Proportional to 225,466 and 533,206

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Solution

The third proportional to 225,466 and 533,206 is: 1,260,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,466 : 533,206 = 533,206 : x
  2. Step 2: Convert to fraction form
    225,466/533,206 = 533,206/x
  3. Step 3: Cross multiply
    225,466x = 533,206 × 533,206
  4. Step 4: Simplify right side
    225,466x = 284,308,638,436
  5. Step 5: Solve for x
    x = 284,308,638,436/225,466
  6. Step 6: Final answer
    x = 1,260,982.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.