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Finding the Third Proportional to 225,549 and 486,355

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Solution

The third proportional to 225,549 and 486,355 is: 1,048,735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,549 : 486,355 = 486,355 : x
  2. Step 2: Convert to fraction form
    225,549/486,355 = 486,355/x
  3. Step 3: Cross multiply
    225,549x = 486,355 × 486,355
  4. Step 4: Simplify right side
    225,549x = 236,541,186,025
  5. Step 5: Solve for x
    x = 236,541,186,025/225,549
  6. Step 6: Final answer
    x = 1,048,735.25

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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.