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Finding the Third Proportional to 225,828 and 497,728

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Solution

The third proportional to 225,828 and 497,728 is: 1,096,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,828 : 497,728 = 497,728 : x
  2. Step 2: Convert to fraction form
    225,828/497,728 = 497,728/x
  3. Step 3: Cross multiply
    225,828x = 497,728 × 497,728
  4. Step 4: Simplify right side
    225,828x = 247,733,161,984
  5. Step 5: Solve for x
    x = 247,733,161,984/225,828
  6. Step 6: Final answer
    x = 1,096,999.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.