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Finding the Third Proportional to 209,529 and 466,483

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Solution

The third proportional to 209,529 and 466,483 is: 1,038,550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,529 : 466,483 = 466,483 : x
  2. Step 2: Convert to fraction form
    209,529/466,483 = 466,483/x
  3. Step 3: Cross multiply
    209,529x = 466,483 × 466,483
  4. Step 4: Simplify right side
    209,529x = 217,606,389,289
  5. Step 5: Solve for x
    x = 217,606,389,289/209,529
  6. Step 6: Final answer
    x = 1,038,550.22

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.